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

The energy stored in a battery is given by $E = V \times Q$, where $E$ is energy, $V$ is voltage, and $Q$ is charge. Rearranging gives $Q = \frac{E}{V} = \frac{500.0 \, \text{J}}{6.0 \, \text{V}} = 83.33 \, \text{C}$, which rounds to 83 C.

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