Chapter 6, Problem 8STP

To determine

To Choose: the correct option.

Answer to Problem 8STP

The option C. $0.80\text{ A}$ is the correct answer.

Explanation of Solution

Formula used:

Ohm’s law equation:

  $I=\frac{V}{R}$

Where $I$ is the current in a circuit in amperes, $V$ is the voltage difference across the circuit in volts and $R$ is the resistance of the circuit in ohms.

Calculation:

The given circuit is a parallel circuit as it has two branches through which current flows.

In a parallel circuit, the voltage difference is same in each branch.

Hence, voltage difference across the lightbulb B, $V=12\text{ V}$

Resistance of the bulb B, $R_{\text{B}}=15\Omega$

Substitute the values of voltage difference and resistance in the ohm’s law equation:

  $\begin{array}{l}{I}_{\text{B}}=\frac{V}{R_{\text{B}}}\\ I_{\text{B}}=\frac{12\text{ V}}{15\Omega }\\ I_{\text{B}}=0.80\text{ A}\end{array}$

Conclusion:

The current through lightbulb B in the given circuit is $\underset{\_}{0.80\text{ A}}$ . Hence, the option C. $0.80\text{ A}$ is the correct answer.