What is the electric potential at a point in space if a charge of 7.3 × 10-17 coulombs at that point has a potential energy of 6.4 × 10-17 joules?

0.88 volts

Explanation:

We are given the amount of charge of a point ( 7.3 × 10^-17 ) along with its potential energy ( 6.4 × 10^-17 joules ).

We are to find the electrical potential at this point.

To find this, we will use the following formula:

Substituting the given values in the above formula:

V = 0.88 volts

V= 1.32 V

Explanation:

Electrical potential energy is calculated using the equation

Ue=1/2CV² where C is the charge and V the voltage at that point in space.

Making V the subject of the formula;

V= √( 2Ue /C)

V= √(2×6.4×10⁻¹⁷÷(7.3 × 10⁻¹⁷))

= 1.32 V

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