Chapter 34, Problem 14A

If the voltage impressed across a circuit is constant but the resistance doubles, what change occurs in the current?

To determine

To Explain: The change in current when voltage across the circuit remains constant but the resistance doubles.

Explanation of Solution

Introduction:

As per Ohm’s law, the current $\left(I\right)$ depends on the voltage established across the wire $\left(V\right)$ and wire’s resistance $\left(R\right)$ .

  $\begin{array}{l}I\propto V\\ I=\frac{V}{R}\end{array}$

For constant voltage, the current is inversely proportional to the resistance offered by the circuit. If resistance doubles, then current would be halved from its former value.

Conclusion:

Current would reduce to half its former value.