Question

When a current of 4.0 A passes through a certain resistor for 10 minutes, 2.88 × 104 J of heat are produced. Calculate
(a) the power of the resistor.
(b) the voltage across the resistor.; When a current of 4.0 A passes through a certain resistor for 10 minutes, 2.88 × 104 J of heat are produced. Calculate
(a) the power of the resistor.
(b) the voltage across the resistor.

Answer 1

Explanation:

(a), Here it is given,

I = 4 amp,

t = 10 min = 10 x 60 = 600sec, H = 2.88x104J

We Know that according to Joule's law of heating

H = I2RT

28800 = 42xRx600

R = 3ohms

We know that

P = I2xR

= 42x3

P = 48W

(b) Here we have to find the potential difference, V = ?

We know that

V = IR

V = 4x3

V = 12V

Answer 2

Power of the Resistor is 48 W

Explanation:

(a), Here it is given,

I = 4 amp,

t = 10 min = $10 \times 60 = 600\ sec, H = 2.88 \times 10^4\ J$

• We Know that according to Joule's law of heating,

$H = I^2RT$

$28800 = 4^2 \times R \times 600$

$R = 3 \Omega$

• We know that,

P = $I^2R$

= $4^2 \times 3$

P = 48 W

• (b) Here we have to find the potential difference, V = ?

We know that

V = IR

V = $4 \times 3$

V = 12 V