Question

Consider the circuit shown in the figure. The current \( I \) flowing through the 7 \(\Omega\) resistor between P and Q (rounded off to one decimal place) is . 

(Circuit diagram with resistors and current source)
 

Hint:

In a bridge circuit, use Kirchhoff’s laws to find the currents and voltages in the branches, especially when the circuit has current sources.

Answer 1

Correct Answer: 0.5

The given circuit is a bridge circuit with resistors of values \( 3 \, \Omega \), \( 7 \, \Omega \), \( 6 \, \Omega \), and \( 2 \, \Omega \), and a current source of 5 A. To find the current \( I \) through the \( 7 \, \Omega \) resistor, we apply Kirchhoff’s Current Law (KCL) and Kirchhoff’s Voltage Law (KVL) to the circuit. By solving for the unknown currents in the bridge, we can calculate the current \( I \) through the \( 7 \, \Omega \) resistor. After solving, we find that the current \( I \) is approximately: \[ I = 0.5 \, \text{A} \] Thus, the current \( I \) flowing through the \( 7 \, \Omega \) resistor is \( 0.5 \, \text{A} \).