Two resistors of resistance, 100 and 200 are connected in parallel in an electrical circuit. The ratio of the thermal energy developed in 100 to that in 200 in a given time is [2022]

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.
Two resistors of resistance, 100 $Ω$ and 200 $Ω$ are connected in parallel in an electrical circuit. The ratio of the thermal energy developed in 100 $Ω$ to that in 200 $Ω$ in a given time is [2022]

1 1 : 2

2 2 : 1

3 1 : 4

4 4 : 1

Ans.
(2)

The two resistances are connected in parallel, so, they both have same potential difference as $V$ .
Heat energy is given by:

$H = \frac{V^{2}}{R} t$

So, $H_{1} = \frac{V^{2}}{100} t; H_{2} = \frac{V^{2}}{200} t$

So, $\frac{H_{1}}{H_{2}} = \frac{200}{100} = 2 : 1$

Want Us to Email you About Special Offers & Updates?