A 6.0-V battery that can store $500.0 \mathrm {~J}$ of energy is connected to a resistor.How much charge must flow between the battery's terminals to completely drain the battery if it is fully charged? Assume that the voltage of the battery remains the same until it is totally drained.
A)83 C
B)0.010 C
C)3000 C
D)0.07 C

Question

Quizplus · Accepted Answer

We know that the energy stored in a battery is given by the equation:

E = QV

Where E is the energy, Q is the charge that flows, and V is the voltage of the battery.

We are given that the energy stored in the battery is 500 J and the voltage is 6.0 V. Plugging in these values, we get:

500 J = Q × 6.0 V

Solving for Q, we get:

Q = 83.3 C

Therefore, the amount of charge that must flow between the battery's terminals to completely drain the battery is 83 C, which is closest to option A.

A 60-V Battery That Can Store 500.0 J500.0 \mathrm {~J}500.0 J Of Energy Is Connected to a Resistor

A 60-V Battery That Can Store $500.0 \mathrm {~J}$ Of Energy Is Connected to a Resistor