When a 4 V battery is connected across an unknown resistor there is a current of 100 mA in the circuit. The value of the resistance of the resistor is

When a

4 V

battery is connected across an unknown resistor there is a current of

100 mA

in the circuit. The value of the resistance of the resistor is

40 Ω

.
Given,

V = 4 V

I = 100 mA

= 0.1 A

According to Ohm's Law, the electric current

(I)

across the circuit is directly proportional to the Electric potential

(V)

and, thus, inversely proportional to the resistance

(R)

offered by the external circuit. Mathematically,

V = IR

\Rightarrow R = \frac{V}{I}

\Rightarrow R = \frac{4}{0.1} Ω

\Rightarrow R = 40 Ω .

When a $4 V$ battery is connected across an unknown resistor there is a current of $100 mA$ in the circuit. The value of the resistance of the resistor is