Question

In the circuit shown, what is the voltage at point \( P \)?

• A. 60 V
• B. 96 V
• C. 20 V
• D. 128 V

Hint:

When dealing with series and parallel resistors, first find the equivalent resistance for the parallel combination and then use Ohm's Law to find the voltage across the components.

Answer 1

The Correct Option is C

Step 1: Calculate the total resistance of the circuit.
The resistors in the circuit are arranged in series and parallel. First, find the equivalent resistance of the parallel combination of the \( 64 \, \Omega \) and \( 32 \, \Omega \) resistors. \[ \frac{1}{R_{\text{eq}}} = \frac{1}{64} + \frac{1}{32} = \frac{3}{64} \quad \Rightarrow \quad R_{\text{eq}} = \frac{64}{3} \, \Omega \]
Step 2: Use Ohm's Law.
Now, apply Ohm's Law \( V = IR \) to find the voltage at point \( P \). Given the total voltage of 60V, we calculate the voltage at point \( P \) to be 20V.
Step 3: Conclusion.
Thus, the voltage at point \( P \) is \( 20 \, \text{V} \), so the correct answer is (C).