Current Electricity Charging Discharging Of Capacitors Question 634

Question: A battery has e.m.f. 4 V and internal resistance r. When this battery is connected to an external resistance of 2 ohms, a current of 1 amp. flows in the circuit. How much current will flow if the terminals of the battery are connected directly

[MP PET 2001]

Options:

A) 1 amp

B) 2 amp

C) 4 amp

D) Infinite

Show Answer

Answer:

Correct Answer: B

Solution:

$ i=\frac{E}{R+r}\Rightarrow 1=\frac{4}{2+r}=r=2\Omega $ Short circuit when terminals of battery connected directly then current flows which is $ i _{SC}=\frac{E}{r}=\frac{4}{2}=2A $ .