In an electrical circuit, two resistors of 2 Ω, and 4 Ω respectively are connected in series to a 6 V battery. The heat dissipated by the 4 Ω resistor in 5 seconds will be__

The heat dissipated by the

4 Ω

resistor in

5

seconds will be

20 J

.
Given:
Resistors,

R_{1} = 2 Ω

and

R_{2} = 4 Ω

Voltage,

V = 6 volts

Time

t = 5 s

Resistance,

R = 4 Ω

Heat dissipated,

H = ?

Equivalent resistance in series is given by,

R_{e} = R_{1} + R_{2} + . . .

\Rightarrow R_{e} = 2 + 4

\Rightarrow R_{e} = 6 Ω

Current,

I = \frac{V}{R} = 1

\Rightarrow I = \frac{6}{6}

\Rightarrow I = 1 A

Heat dissipated,

H = I^{2} Rt

\Rightarrow H = 1^{2} \times 4 \times 5

\Rightarrow H = 20 J

In an electrical circuit, two resistors of $2 Ω$ , and $4 Ω$ respectively are connected in series to a $6 V$ battery. The heat dissipated by the $4 Ω$ resistor in $5$ seconds will be__