The resistance of a resistor is reduced t

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
The resistance of a resistor is reduced to half of its initial value. In doing so, if other parameters of the circuit remain unchanged, the heating effects on the resistor will become:

1 two times

2 half

3 one-fourth

4 four times

Ans.
(1)

Resistance of a resistor $R Ω$

New resistance of a resistor $\frac{R}{2} Ω$

All other parameters of the circuit remain unchanged.

By applying Joule’s law of heating: $H = I^{2} R t$

$A s p e r O h m ’ s l a w 𝑉 = 𝐼 R$

$o r 𝐼 = 𝑉 / 𝑅 H = \frac{V}{R} \times \frac{V}{R} \times R \times t = \frac{V^{2}}{R} \times t C a s e I : H = \frac{V^{2}}{R} \times t C a s e I I : H' = \frac{V^{2}}{\frac{R}{2}} \times t = \frac{V^{2} \times 2}{R} \times t H' = H \times 2$

Hence, the heating effect in the resistor will become two times if all other parameters of the circuit remain the same.

Want Us to Email you About Special Offers & Updates?