Calculating the Electric Potential of a Point Charge

  • 1.

    Calculate the electric potential of a charge {eq}\rm q = 9.6\ nC {/eq} from a distance of 60 m.

    Answers:

    • {eq}\rm 0.144\ J/C {/eq}

    • {eq}\rm 1.44\ J/C {/eq}

    • {eq}\rm 14.4\ J/C {/eq}

    • {eq}\rm 144\ J/C {/eq}

  • 2.

    What is the electric potential of a charge {eq}\rm q = 15\ nC {/eq} tested from a distance of 100 m.

    Answers:

    • {eq}\rm 135\ J/C {/eq}

    • {eq}\rm 0.135\ J/C {/eq}

    • {eq}\rm 13.5\ J/C {/eq}

    • {eq}\rm 1.35\ J/C {/eq}

  • 3.

    A charge {eq}\rm q= 10\ nC {/eq} is rested at the distance 250 m. Determine the electric potential from that distance.

    Answers:

    • {eq}\rm 360\ J/C {/eq}

    • {eq}\rm 3.60\ J/C {/eq}

    • {eq}\rm 36.0\ J/C {/eq}

    • {eq}\rm 0.36\ J/C {/eq}

  • 4.

    Suppose a charge is 600 m away from the origin. What is the electric potential at the origin when the charge is equal to {eq}\rm q= 200\ nC {/eq}

    Answers:

    • {eq}\rm 300\ J/C {/eq}

    • {eq}\rm 3.0\ J/C {/eq}

    • {eq}\rm 30.0\ J/C {/eq}

    • {eq}\rm 0.30\ J/C {/eq}

  • 5.

    Determine the electric potential 90 m away from a charge {eq}\rm q = 15.6\ nC {/eq}.

    Answers:

    • {eq}\rm 16.0\ J/C {/eq}

    • {eq}\rm 0.16\ J/C {/eq}

    • {eq}\rm 160\ J/C {/eq}

    • {eq}\rm 1.56\ J/C {/eq}

  • 6.

    Solve the electric potential 750 m gap from a charge {eq}\rm q = 19\ nC {/eq}.

    Answers:

    • {eq}\rm 2.32\ J/C {/eq}

    • {eq}\rm 23.8\ J/C {/eq}

    • {eq}\rm 0.228\ J/C {/eq}

    • {eq}\rm 230\ J/C {/eq}

  • 7.

    Given that a charge {eq}\rm q = 58\ nC {/eq}. Calculate the electric potential at a distance of 500 m.

    Answers:

    • {eq}\rm 1.04\ J/C {/eq}

    • {eq}\rm 10.4\ J/C {/eq}

    • {eq}\rm 104\ J/C {/eq}

    • {eq}\rm 0.104\ J/C {/eq}

  • 8.

    Suppose a charge {eq}\rm q = 24\ nC {/eq} is located 700 m away from the origin. What is the electric potential at the origin?

    Answers:

    • {eq}\rm 3.09\ J/C {/eq}

    • {eq}\rm 30.9\ J/C {/eq}

    • {eq}\rm 0.309\ J/C {/eq}

    • {eq}\rm 309\ J/C {/eq}

  • 9.

    Assuming a charge {eq}\rm q = 85\ nC {/eq} and is detected at 28 m along the x-axis. Find the electric potential at the origin.

    Answers:

    • {eq}\rm 0.273\ J/C {/eq}

    • {eq}\rm 273\ J/C {/eq}

    • {eq}\rm 27.3\ J/C {/eq}

    • {eq}\rm 2.73\ J/C {/eq}

  • 10.

    A charge is spotted at 67 m away from the origin. If the charge {eq}\rm q = 200\ nC {/eq}, what is the electric potential at this distance?

    Answers:

    • {eq}\rm 0.269\ J/C {/eq}

    • {eq}\rm 2.69\ J/C {/eq}

    • {eq}\rm 269\ J/C {/eq}

    • {eq}\rm 26.9\ J/C {/eq}

  • 11.

    Which is the electric potential of the charge {eq}\rm q = 18\ nC {/eq} located 430 m away?

    Answers:

    • {eq}\rm 0.377\ J/C {/eq}

    • {eq}\rm 377\ J/C {/eq}

    • {eq}\rm 37.7\ J/C {/eq}

    • {eq}\rm 3.77\ J/C {/eq}

  • 12.

    Compute the electric potential of a charge {eq}\rm q = 11\ nC {/eq} from a distance of 32 m.

    Answers:

    • {eq}\rm 0.309\ J/C {/eq}

    • {eq}\rm 309\ J/C {/eq}

    • {eq}\rm 3.09\ J/C {/eq}

    • {eq}\rm 30.9\ J/C {/eq}

  • 13.

    Determine the electric potential from the distance given. A charge having a value of {eq}\rm 17\ nC {/eq} is 150 m away.

    Answers:

    • {eq}\rm 1.02\ J/C {/eq}

    • {eq}\rm 10.2\ J/C {/eq}

    • {eq}\rm 0.102\ J/C {/eq}

    • {eq}\rm 102\ J/C {/eq}

  • 14.

    A charge {eq}\rm q = 34\ nC {/eq} is observed at 61 m. Quantify the electric potential at the given distance.

    Answers:

    • {eq}\rm 5.02\ J/C {/eq}

    • {eq}\rm 50.2\ J/C {/eq}

    • {eq}\rm 502\ J/C {/eq}

    • {eq}\rm 0.502\ J/C {/eq}

  • 15.

    A charge is detected at 1000 m away. Suppose the charge is equal to {eq}\rm 300\ nC {/eq}, compute the electric potential at this distance.

    Answers:

    • {eq}\rm 37\ J/C {/eq}

    • {eq}\rm 0.37\ J/C {/eq}

    • {eq}\rm 2.7\ J/C {/eq}

    • {eq}\rm 27\ J/C {/eq}

  • 16.

    The charge {eq}\rm q= 73\ nC {/eq} is rested 115 m away from which it is observed. What is the electric potential from this distance?

    Answers:

    • {eq}\rm 57.1\ J/C {/eq}

    • {eq}\rm 571\ J/C {/eq}

    • {eq}\rm 0.571\ J/C {/eq}

    • {eq}\rm 5.71\ J/C {/eq}

  • 17.

    A charge at rest is detected 89 m away. The charge is having a value of {eq}\rm 79\ nC {/eq}. Find the electric potential due to this charge.

    Answers:

    • {eq}\rm 0.799\ J/C {/eq}

    • {eq}\rm 7.99\ J/C {/eq}

    • {eq}\rm 799\ J/C {/eq}

    • {eq}\rm 79.9\ J/C {/eq}

  • 18.

    Obtain the electric potential value from a charge {eq}\rm q= 142\ nC {/eq}. The test point is located 45 m away from the charge.

    Answers:

    • {eq}\rm 284\ J/C {/eq}

    • {eq}\rm 28.4\ J/C {/eq}

    • {eq}\rm 2,840\ J/C {/eq}

    • {eq}\rm 0.284\ J/C {/eq}

  • 19.

    Find the electric potential due to the charge {eq}\rm q = 700\ nC {/eq}, having a 32 m distance from the test point.

    Answers:

    • {eq}\rm 1.97\ J/C {/eq}

    • {eq}\rm 0.197\ J/C {/eq}

    • {eq}\rm 19.7\ J/C {/eq}

    • {eq}\rm 197\ J/C {/eq}

  • 20.

    A charge {eq}\rm q = 298\ nC {/eq} is discovered from 347 m away. Get the electric potential from the given distance.

    Answers:

    • {eq}\rm 0.773\ J/C {/eq}

    • {eq}\rm 77.3\ J/C {/eq}

    • {eq}\rm 7.73\ J/C {/eq}

    • {eq}\rm 773\ J/C {/eq}

  • 21.

    Derive the electric potential due to a charge {eq}\rm q = 18\ nC {/eq}. It is 460 m from the test point.

    Answers:

    • {eq}\rm 35.2\ J/C {/eq}

    • {eq}\rm 0.352\ J/C {/eq}

    • {eq}\rm 3.52\ J/C {/eq}

    • {eq}\rm 352\ J/C {/eq}

  • 22.

    A charge {eq}\rm q= 69\ nC {/eq} is located at the distance 222 m. determine the electric potential from the given data.

    Answers:

    • {eq}\rm 28.0\ J/C {/eq}

    • {eq}\rm 0.280\ J/C {/eq}

    • {eq}\rm 2.80\ J/C {/eq}

    • {eq}\rm 280\ J/C {/eq}

  • 23.

    A charge is not moving and is found 16 m away. When the charge is having a value of {eq}\rm 99\ nC {/eq}, attain the electric potential due to this charge.

    Answers:

    • {eq}\rm 55.7\ J/C {/eq}

    • {eq}\rm 5.57\ J/C {/eq}

    • {eq}\rm 557\ J/C {/eq}

    • {eq}\rm 0.557\ J/C {/eq}

  • 24.

    A charge is located from a distance of 432 m. What is the electric potential due to this charge, {eq}\rm q= 46\ nC {/eq}?

    Answers:

    • {eq}\rm 9.6 \ J/C {/eq}

    • {eq}\rm 0.96 \ J/C {/eq}

    • {eq}\rm 96 \ J/C {/eq}

    • {eq}\rm 0.096 \ J/C {/eq}

  • 25.

    Solve the electric potential due to a charge {eq}\rm q = 53\ nC {/eq} from a distance of 86 m.

    Answers:

    • {eq}\rm 55.5\ J/C {/eq}

    • {eq}\rm 5.55\ J/C {/eq}

    • {eq}\rm 555\ J/C {/eq}

    • {eq}\rm 0.555\ J/C {/eq}

  • 26.

    A charge at rest is found at 756 m away. The charge is having a value of {eq}\rm 68\ nC {/eq}, calculate for the electric potential.

    Answers:

    • {eq}\rm 810\ J/C {/eq}

    • {eq}\rm 81.0\ J/C {/eq}

    • {eq}\rm 0.81\ J/C {/eq}

    • {eq}\rm 8.10\ J/C {/eq}

  • 27.

    Discover the electric potential of the system. A charge {eq}\rm q = 80\ nC {/eq} is at a distance of 300 m.

    Answers:

    • {eq}\rm 2.4\ J/C {/eq}

    • {eq}\rm 240 \ J/C {/eq}

    • {eq}\rm 24\ J/C {/eq}

    • {eq}\rm 0.24\ J/C {/eq}

  • 28.

    A charge {eq}\rm q = 72\ nC {/eq} is not moving. It is detected 59 m away from a test point. What is the electric potential of the system?

    Answers:

    • {eq}\rm 110\ J/C {/eq}

    • {eq}\rm 1.1\ J/C {/eq}

    • {eq}\rm 0.11\ J/C {/eq}

    • {eq}\rm 11 \ J/C {/eq}

  • 29.

    Let a charge be located at 500 m from a test point. What would be the electric potential if the charge is equal to {eq}\rm 35\ nC {/eq}?

    Answers:

    • {eq}\rm 630\ J/C {/eq}

    • {eq}\rm 6.30\ \mu J/C {/eq}

    • {eq}\rm 0.63\ J/C {/eq}

    • {eq}\rm 6.30\ J/C {/eq}

  • 30.

    A charge is situated 65 m away from where it is observed. Solve the standard value of the electric potential due to this charge. The charge value is {eq}\rm 78\ nC {/eq}.

    Answers:

    • {eq}\rm 1.08\ J/C {/eq}

    • {eq}\rm 10.8\ J/C {/eq}

    • {eq}\rm 108\ J/C {/eq}

    • {eq}\rm 1,080\ J/C {/eq}

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