Finding the Magnitude of Charge a Capacitor's Parallel Plates Using the Potential Difference Between them

  • 1.

    Compute for the magnitude of the charge (in coulomb) that has accumulated in a {eq}12.8\ \text{nF} {/eq} capacitor when the potential difference across the capacitor has reached {eq}175\ \text{V} {/eq}.

    Answers:

    • {eq}2.24 \times 10^{-5}\text{C} {/eq}

    • {eq}7.31429 \times 10^{-11}\ \text{C} {/eq}

    • {eq}7.31429 \times 10^{-10}\ \text{C} {/eq}

    • {eq}2.24 \times 10^{-6}\ \text{C} {/eq}

  • 2.

    A capacitor that has a capacitance of {eq}105\ \text{pF} {/eq} is attached to a source of {eq}240\ \text{V} {/eq}. Compute for the magnitude of the charge (measured in coulomb) when the capacitor has been fully charged.

    Answers:

    • {eq}4.375 \times 10^{-12}\ \text{C} {/eq}

    • {eq}2.52 \times 10^{-8}\ \text{C} {/eq}

    • {eq}4.375 \times 10^{-13}\ \text{C} {/eq}

    • {eq}4.375 \times 10^{-6}\ \text{C} {/eq}

  • 3.

    Find the amount of charge in a {eq}138\ \text{pF} {/eq} capacitor after it has been fully charged by a source of {eq}150\ \text{V} {/eq}.

    Answers:

    • {eq}2.07 \times 10^{-6}\text{C} {/eq}

    • {eq}9.2 \times 10^{-13}\ \text{C} {/eq}

    • {eq}2.07 \times 10^{-8}\ \text{C} {/eq}

    • {eq}2.07 \times 10^{-7}\text{C} {/eq}

  • 4.

    The potential difference across a film capacitor that has a capacitance of {eq}11.3\ \text{nF} {/eq} is equal to {eq}135\ \text{V} {/eq}. Calculate the magnitude of the charge in the capacitor.

    Answers:

    • {eq}1.5255 \times 10^{-4}\text{C} {/eq}

    • {eq}1.5255 \times 10^{-6}\ \text{C} {/eq}

    • {eq}8.37 \times 10^{-11}\ \text{C} {/eq}

    • {eq}1.5255 \times 10^{-5}\text{C} {/eq}

  • 5.

    The drop in potential across the plates of a parallel plate capacitor that has a capacitance of {eq}1.35\ \text{nF} {/eq} equals {eq}40\ \text{V} {/eq}. Calculate the magnitude of the charge (measured in coulomb) in each plate.

    Answers:

    • {eq}5.4 \times 10^{-8}\ \text{C} {/eq}

    • {eq}3.375 \times 10^{-10}\ \text{C} {/eq}

    • {eq}3.375 \times 10^{-11}\ \text{C} {/eq}

    • {eq}3.375 \times 10^{-12}\ \text{C} {/eq}

  • 6.

    A capacitor has been charged so that the potential difference across it equals {eq}25\ \text{V} {/eq}. If its capacitance equals {eq}76\ \text{pF} {/eq}, what is the magnitude of the charge that has accumulated in the capacitor?

    Answers:

    • {eq}3.04 \times 10^{-12}\ \text{C} {/eq}

    • {eq}3.04 \times 10^{-11}\ \text{C} {/eq}

    • {eq}3.04 \times 10^{-9}\ \text{C} {/eq}

    • {eq}1.9 \times 10^{-9}\ \text{C} {/eq}

  • 7.

    A film capacitor with a capacitance of {eq}105\ \text{pF} {/eq} is charged with a {eq}170\ \text{V} {/eq} source. Determine the magnitude of the charge in the capacitor as soon as it has been fully charged.

    Answers:

    • {eq}6.17647 \times 10^{-12}\ \text{C} {/eq}

    • {eq}6.17647 \times 10^{-13}\ \text{C} {/eq}

    • {eq}1.785 \times 10^{-8}\ \text{C} {/eq}

    • {eq}1.785 \times 10^{-7}\text{C} {/eq}

  • 8.

    Which of the following gives the amount of charge in a {eq}125\ \text{pF} {/eq} capacitor after it has been fully charged by a source of {eq}205\ \text{V} {/eq}?

    Answers:

    • {eq}2.5625 \times 10^{-9}\text{C} {/eq}

    • {eq}2.5625 \times 10^{-8}\ \text{C} {/eq}

    • {eq}6.09756 \times 10^{-13}\ \text{C} {/eq}

    • {eq}6.09756 \times 10^{-12}\ \text{C} {/eq}

  • 9.

    The magnitude of the charge that has accumulated in a {eq}20\ \text{pF} {/eq} capacitor that has been charged so that the voltage drop across it equals {eq}25\ \text{V} {/eq} is _____.

    Answers:

    • {eq}5 \times 10^{-9}\text{C} {/eq}

    • {eq}5 \times 10^{-8}\text{C} {/eq}

    • {eq}5 \times 10^{-10}\ \text{C} {/eq}

    • {eq}8 \times 10^{-13}\ \text{C} {/eq}

  • 10.

    The potential difference between the plates of a parallel plate capacitor that has a capacitance of {eq}2.6\ \text{pF} {/eq} is equal to {eq}4.5\ \text{V} {/eq}. Find the magnitude of the charge (measured in coulomb) of each plate.

    Answers:

    • {eq}1.17 \times 10^{-11}\ \text{C} {/eq}

    • {eq}5.78 \times 10^{-13}\ \text{C} {/eq}

    • {eq}5.78 \times 10^{-12}\ \text{C} {/eq}

    • {eq}1.17 \times 10^{-10}\text{C} {/eq}

  • 11.

    Which of the following is equal to the magnitude of the charge that has accumulated in an {eq}8.0\ \text{pF} {/eq} capacitor, if the voltage drop across the capacitor that has reached {eq}30\ \text{V} {/eq}?

    Answers:

    • {eq}2.67 \times 10^{-13}\ \text{C} {/eq}

    • {eq}2.4 \times 10^{-9}\text{C} {/eq}

    • {eq}2.67 \times 10^{-14}\ \text{C} {/eq}

    • {eq}2.4 \times 10^{-10}\ \text{C} {/eq}

  • 12.

    A {eq}7.5\ \text{V} {/eq} battery is attached to fully charge a parallel plate capacitor that has a capacitance of {eq}7.3\ \text{pF} {/eq}. Compute for the magnitude of the charge of each plate in the fully charged capacitor.

    Answers:

    • {eq}5.475 \times 10^{-11}\ \text{C} {/eq}

    • {eq}9.73 \times 10^{-13}\ \text{C} {/eq}

    • {eq}9.73 \times 10^{-14}\ \text{C} {/eq}

    • {eq}5.475 \times 10^{-10}\text{C} {/eq}

  • 13.

    Determine the magnitude of the charge on each plate of a parallel plate capacitor that has a capacitance of {eq}3.2\ \text{pF} {/eq} when the potential difference between the plates is equal to {eq}4.5\ \text{V} {/eq}.

    Answers:

    • {eq}1.44 \times 10^{-13}\text{C} {/eq}

    • {eq}7.11 \times 10^{-13}\ \text{C} {/eq}

    • {eq}1.44 \times 10^{-11}\ \text{C} {/eq}

    • {eq}1.44 \times 10^{-12}\text{C} {/eq}

  • 14.

    If the potential difference across the capacitor that has a capacitance of {eq}14.4\ \text{nF} {/eq} is equal to {eq}115\ \text{V} {/eq}, then the magnitude of the charge that has accumulated is equal to _____.

    Answers:

    • {eq}1.25217 \times 10^{-10}\ \text{C} {/eq}

    • {eq}1.25217 \times 10^{-4}\ \text{C} {/eq}

    • {eq}1.656 \times 10^{-6}\ \text{C} {/eq}

    • {eq}1.25217 \times 10^{-7}\ \text{C} {/eq}

  • 15.

    A {eq}50\ \text{pF} {/eq} capacitor is charged so that the potential difference across it equals {eq}45\ \text{V} {/eq}. Determine the magnitude of the charge measured in the capacitor.

    Answers:

    • {eq}2.25 \times 10^{-11}\text{C} {/eq}

    • {eq}2.25 \times 10^{-9}\ \text{C} {/eq}

    • {eq}1.11 \times 10^{-12}\ \text{C} {/eq}

    • {eq}2.25 \times 10^{-10}\text{C} {/eq}

  • 16.

    Compute for the magnitude of the charge that has accumulated in a capacitor that has a capacitance of {eq}3.5\ \text{nF}, {/eq} if the voltage drop across the capacitor is equal to {eq}45\ \text{V} {/eq}.

    Answers:

    • {eq}1.575 \times 10^{-8}\text{C} {/eq}

    • {eq}1.575 \times 10^{-7}\ \text{C} {/eq}

    • {eq}7.78 \times 10^{-11}\ \text{C} {/eq}

    • {eq}7.78 \times 10^{-10}\ \text{C} {/eq}

  • 17.

    A capacitor that has a capacitance of {eq}101\ \text{pF} {/eq} is connected to a source that provides a potential difference of {eq}105\ \text{V} {/eq}. Find the charge on the capacitor when it is fully charged.

    Answers:

    • {eq}1.0605 \times 10^{-7}\text{C} {/eq}

    • {eq}1.0605 \times 10^{-8}\ \text{C} {/eq}

    • {eq}9.61905 \times 10^{-13}\ \text{C} {/eq}

    • {eq}1.0605 \times 10^{-10}\text{C} {/eq}

  • 18.

    Calculate for the magnitude of the charge that has accumulated in a {eq}3.9\ \text{nF} {/eq} if the voltage drop across the capacitor equals {eq}45\ \text{V} {/eq}?

    Answers:

    • {eq}8.67 \times 10^{-11}\ \text{C} {/eq}

    • {eq}8.67 \times 10^{-8}\text{C} {/eq}

    • {eq}8.67 \times 10^{-5}\text{C} {/eq}

    • {eq}1.755 \times 10^{-7}\ \text{C} {/eq}

  • 19.

    Which of the following equals the magnitude of the charge on each plate of a parallel plate capacitor that has a capacitance of {eq}4.5\ \text{pF} {/eq} when the potential difference between the plates equals {eq}6\ \text{V} {/eq}?

    Answers:

    • {eq}2.7 \times 10^{-11}\ \text{C} {/eq}

    • {eq}7.5 \times 10^{-13}\ \text{C} {/eq}

    • {eq}7.5 \times 10^{-12}\ \text{C} {/eq}

    • {eq}2.7 \times 10^{-10}\text{C} {/eq}

  • 20.

    Determine the magnitude of the charge on each plate of a parallel plate capacitor when the potential difference between the plates is equal to {eq}9\ \text{V} {/eq} and the capacitor's capacitance is equal to {eq}2.8\ \text{pF} {/eq}.

    Answers:

    • {eq}3.11\times 10^{-13}\ \text{C} {/eq}

    • {eq}3.11 \times 10^{-12}\ \text{C} {/eq}

    • {eq}3.11 \times 10^{-11}\ \text{C} {/eq}

    • {eq}2.52 \times 10^{-11}\ \text{C} {/eq}

  • 21.

    A parallel plate capacitor that has a capacitance of {eq}10.8\ \text{nF} {/eq} is charged until the potential difference between its plates equals {eq}125\ \text{V} {/eq}. Determine the magnitude of the charge (measured in coulomb) in each plate.

    Answers:

    • {eq}1.35 \times 10^{-6}\ \text{C} {/eq}

    • {eq}1.35 \times 10^{-8}\text{C} {/eq}

    • {eq}8.64 \times 10^{-11}\ \text{C} {/eq}

    • {eq}1.35 \times 10^{-5}\text{C} {/eq}

  • 22.

    If the potential difference across a capacitor has reached {eq}40\ \text{V} {/eq} and its capacitance equals {eq}55\ \text{pF} {/eq}, what is the magnitude of the charge that the capacitor has accumulated?

    Answers:

    • {eq}2.2 \times 10^{-9}\ \text{C} {/eq}

    • {eq}1.375 \times 10^{-12}\ \text{C} {/eq}

    • {eq}2.2 \times 10^{-10}\text{C} {/eq}

    • {eq}2.2 \times 10^{-11}\text{C} {/eq}

  • 23.

    Determine the magnitude of the amount of charge that a {eq}4.25\ \text{nF} {/eq} capacitor has to accumulate so that the voltage drop across it equals {eq}45\ \text{V} {/eq}.

    Answers:

    • {eq}9.44 \times 10^{-11}\ \text{C} {/eq}

    • {eq}9.44 \times 10^{-9}\ \text{C} {/eq}

    • {eq}1.9125 \times 10^{-7}\ \text{C} {/eq}

    • {eq}9.44 \times 10^{-10}\ \text{C} {/eq}

  • 24.

    Compute for the magnitude of the charge on each plate of a parallel plate capacitor if its capacitance equals {eq}1.2\ \text{pF} {/eq} and the potential difference between the plates equals {eq}1.5\ \text{V} {/eq}.

    Answers:

    • {eq}1.8 \times 10^{-12}\ \text{C} {/eq}

    • {eq}1.8 \times 10^{-11}\text{C} {/eq}

    • {eq}8 \times 10^{-12}\ \text{C} {/eq}

    • {eq}8 \times 10^{-13}\ \text{C} {/eq}

  • 25.

    The potential difference across a capacitor that has a capacitance of {eq}3.6\ \text{pF} {/eq} has reached {eq}6\ \text{V} {/eq}. What is the magnitude of the charge (measured in coulomb) in each plate at this point?

    Answers:

    • {eq}6 \times 10^{-12}\ \text{C} {/eq}

    • {eq}2.16 \times 10^{-11}\ \text{C} {/eq}

    • {eq}2.16 \times 10^{-10}\text{C} {/eq}

    • {eq}6 \times 10^{-13}\ \text{C} {/eq}

  • 26.

    Find the magnitude of the charge in a {eq}7.3\ \text{pF} {/eq} capacitor that has been charged to attain a potential difference of {eq}3\ \text{V} {/eq} across it.

    Answers:

    • {eq}2.19 \times 10^{-11}\ \text{C} {/eq}

    • {eq}2.19 \times 10^{-12}\text{C} {/eq}

    • {eq}2.43 \times 10^{-13}\ \text{C} {/eq}

    • {eq}2.43 \times 10^{-12}\ \text{C} {/eq}

  • 27.

    What is the magnitude of the charge (in coulomb) that has accumulated in a {eq}13.7\ \text{nF} {/eq} capacitor when the potential difference across the capacitor has reached {eq}160\ \text{V} {/eq}?

    Answers:

    • {eq}8.5625 \times 10^{-9}\ \text{C} {/eq}

    • {eq}8.5625 \times 10^{-7}\ \text{C} {/eq}

    • {eq}2.192 \times 10^{-6}\ \text{C} {/eq}

    • {eq}8.5625 \times 10^{-11}\ \text{C} {/eq}

  • 28.

    The potential difference across a capacitor that has a capacitance of {eq}5.3\ \text{pF} {/eq} has reached {eq}3\ \text{V} {/eq}. What is the magnitude of the charge (measured in coulomb) of each plate at this point?

    Answers:

    • {eq}1.59 \times 10^{-12}\text{C} {/eq}

    • {eq}1.767 \times 10^{-12}\ \text{C} {/eq}

    • {eq}1.767 \times 10^{-13}\ \text{C} {/eq}

    • {eq}1.59 \times 10^{-11}\ \text{C} {/eq}

  • 29.

    A {eq}96\ \text{pF} {/eq} capacitor is attached to a source until the potential difference across it (the capacitor) equals {eq}30\ \text{V} {/eq}. Compute for the magnitude of the accumulated charge in the capacitor.

    Answers:

    • {eq}3.2 \times 10^{-12}\ \text{C} {/eq}

    • {eq}2.88 \times 10^{-9}\ \text{C} {/eq}

    • {eq}2.88 \times 10^{-8}\text{C} {/eq}

    • {eq}3.2 \times 10^{-11}\ \text{C} {/eq}

  • 30.

    Find the magnitude of the charge on each plate of a parallel plate capacitor when the potential difference between the plates equals {eq}9\ \text{V} {/eq}, if the capacitance of the capacitor equals {eq}4.2\ \text{pF} {/eq}.

    Answers:

    • {eq}3.78 \times 10^{-11}\ \text{C} {/eq}

    • {eq}3.78 \times 10^{-12}\text{C} {/eq}

    • {eq}4.67 \times 10^{-13}\ \text{C} {/eq}

    • {eq}4.67 \times 10^{-12}\ \text{C} {/eq}

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