In a simple circuit consisting of a battery with voltage $V$ and a resistor with resistance $R$ connected in series, what is the current through the battery?

• A. $V\times R$
• B. $V+R$
• C. $\frac{V}{R}$
• D. $\frac{R}{V}$

Answer: (C)

Verified step by step guidance

1. Identify the components in the circuit: a battery with voltage \(V\) and a resistor with resistance \(R\) connected in series.
2. Recall Ohm's Law, which relates voltage (\(V\)), current (\(I\)), and resistance (\(R\)) as \(V = I \times R\).
3. Rearrange Ohm's Law to solve for the current \(I\): \(I = \frac{V}{R}\).
4. Since the resistor and battery are in series, the current through the battery is the same as the current through the resistor.
5. Therefore, the current through the battery is given by \(I = \frac{V}{R}\).