A storage battery of emf 8.0 V and internal resistance 0.5 Ω is being charged by a 120 V dc supply using a series resistor of 15.5 Ω. What is the terminal voltage of the battery during charging? What is the
purpose of having a series resistor in the charging circuit?
A storage battery of emf 8.0 V and internal resistance 0.5 Ω is being charged by a 120 V dc supply using a series resistor of 15.5 Ω. What is the terminal voltage of the battery during charging? What is the
purpose of having a series resistor in the charging circuit?

Answer –

According to the question statement –

The EMF of storage battery is E = 8.0 V

Internal resistance of battery is given by r = 0.5 Ω

DC supply voltage is V = 120 V

Resistance of the resistor is R = 15.5 Ω

Effective voltage of the circuit = V 1

Since it is known that R is connected to the storage battery in series, we can write –

1 = V – E= 120 – 8

1  = 112 V

Current flowing in the circuit = I , it is given by the relation –

    \[I=\frac{{{V}^{1}}}{R+r}\]

    \[I=\frac{112}{15.5+5}=\frac{112}{16}\]

Therefore, I = 7A

According to Ohm’s law, voltage can be given by the product –

I x R = 7 × 15.5

V  = 108.5 V

We know that, DC supply voltage = Terminal voltage + voltage drop across R

Therefore, Terminal voltage of battery = 120 – 108.5 = 11.5 V

When used in a charging circuit, a series resistor restricts the amount of current drawn from the external source. In its absence, the current will become tremendously high. This is a really dangerous situation.