Current Electricity Charging Discharging Of Capacitors Question 266

Question: In the circuit shown, a meter bridge is in its balanced state. The meter bridge wire has a resistance 0.1 ohm/cm. The value of unknown resistance X and the current drawn from the battery of negligible resistance is

[AMU (Engg.) 2000]

Options:

A) 6 W, 5 amp

B) 10 W, 0.1 amp

C) 4 W, 1.0 amp

D) 12 W, 0.5 amp

Show Answer

Answer:

Correct Answer: C

Solution:

Resistance of the part AC $ R _{AC}=0.1\times 40=4\Omega $ and $ R _{CB}=0.1\times 60=6\Omega $ In balanced condition $ \frac{X}{6}=\frac{4}{6}\Rightarrow X=4\Omega $ Equivalent resistance $ R _{eq}=5\Omega $ so current drawn from battery $ i=\frac{5}{5}=1A $ .