JEE Main · 2022 · 28 Jun 2022 · Shift 1 · Current Electricity

Current measured by the ammeter (A) in the reported circuit when no current flows through

10Ω

resistance. will be ____ A.

Answer: 10

Solution

When no current flows through the

10Ω

resistor, the bridge is balanced. Using the Wheatstone bridge condition:

\frac{R}{3} = \frac{4}{6}

, we get

R = 2Ω

. The effective resistance of the circuit is

R_{e q} = \frac{6 \times 9}{6 + 9} = \frac{18}{5} Ω

. Therefore, the current through the ammeter is

i = \frac{36}{R _{e q}} = \frac{36 \times 5}{18} = 10

JEE Main · 2022 · 28 Jun 2022 · Shift 1 · Integer answer