A resistor develops 300 J of thermal energy in 15 s, when a current of 2 A is passed through it. If the current increases to 3 A, the energy developed in 10 s is J.

Question

A resistor develops 300 J of thermal energy in 15 s, when a current of 2 A is passed through it. If the current increases to 3 A, the energy developed in 10 s is J. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

H = i 2 Rt 300=22 × R × 15 ⇒ R =(300/60)=5 Ω Now, for i =3 A , t =10 s , R =5 Ω H =32 × 5 × 10=450 J

Q. A resistor develops $300 J$ of thermal energy in $15 s$ , when a current of $2 A$ is passed through it. If the current increases to $3 A$ , the energy developed in $10 s$ is ______ $J$ .

$H = i^{2} Rt$
$300 = 2^{2} \times R \times 15$
$\Rightarrow R = \frac{300}{60} = 5 Ω$
Now, for $i = 3 A, t = 10 s, R = 5 Ω$
$H = 3^{2} \times 5 \times 10 = 450 J$

Q. A resistor develops 300J of thermal energy in 15s, when a current of 2A is passed through it. If the current increases to 3A, the energy developed in 10s is ______J.

H=i2Rt 300=22×R×15 ⇒R=60300​=5Ω Now, for i=3A,t=10s,R=5Ω H=32×5×10=450J

Q. A resistor develops $300 J$ of thermal energy in $15 s$ , when a current of $2 A$ is passed through it. If the current increases to $3 A$ , the energy developed in $10 s$ is ______ $J$ .

$H = i^{2} Rt$
$300 = 2^{2} \times R \times 15$
$\Rightarrow R = \frac{300}{60} = 5 Ω$
Now, for $i = 3 A, t = 10 s, R = 5 Ω$
$H = 3^{2} \times 5 \times 10 = 450 J$