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A. A current of 1.50 A flows in a conductor for 6.0 s. How much charge passes a given point in...

Question:

A. A current of {eq}\displaystyle 1.50 \ A {/eq} flows in a conductor for {eq}\displaystyle 6.0 \ s {/eq}. How much charge passes a given point in the conductor during this time?

B. To separate a {eq}\displaystyle 0.25 \ C {/eq} charge from another charge, {eq}\displaystyle 30 \ J {/eq} of work is done. What is the electric potential energy of the charge?

Electric Current

Electric current is the flow of electric charges. It is defined as the amount of charge passes through a given point in unit time. It is a scalar quantity and measured in Amperes. Mathematically we can write,

{eq}\displaystyle I=\frac{q}{t} {/eq}

Where

  • {eq}I {/eq} is the current,
  • {eq}q {/eq} is the charge and
  • {eq}t {/eq} is the time.

Answer and Explanation:

A)

Given:

{eq}I=1.50\ A\\ t=6.0\ s {/eq}

The amount of charge passed is,

{eq}q=It=1.50\times6.00\ C=9.00\ C {/eq}

B)

Given:

{eq}q=0.25\ C\\ W=30\ J {/eq}

Potential Energy is the work done per unit charge. That is, the potential energy is,

{eq}\displaystyle V=\frac{W}{q}=\frac{30}{0.25}\ V=120\ V {/eq}


Learn more about this topic:

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What is Electric Current? - Definition, Unit & Types

from CLEP Natural Sciences: Study Guide & Test Prep

Chapter 6 / Lesson 7
304K

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