Question

Two resistors of 20 ohm and 40 ohm are connected in series to battery of potential difference 10 v compare ratio of heat produced in one minute by two resistance

Answer 1

Two resistors of resistance 20ohm and 40 ohm are connected in series to the battery of the potential difference 10v.

equivalent resistance , R = 20 + 40 = 60ohm
now, heat produced by resistance, R is given by H = V²t/R
here, V = 10v , t = 1min = 60 sec and R = 10v
so, H = (10² × 60)/60 = 100watt

heat produced by resistor of resistance 20ohm
$H_1=\frac{V^2}{R_1}t=\frac{10^2}{20}60=300watt$

heat produced by resistor of resistance 40ohm
$H_2=\frac{V^2}{R_2}t=\frac{10^2}{40}60=150watt$

Answer 2

Explanation:

Equivalent resistance, R=20+40=60 ohm

Now, heat produced by resistance, R is given by H=V^2 t/ R

Here, V=10v, t=1 min=60 sec, and R=10 v

So, H= (10^2* 60)/ 60 =100 watt

Heat produced by resistor of resistance 20 ohm

H1= v^2/ R2T= 10^2/ 20 * 60= 300 watt

Heat produced by resistor of resistance 40 ohm

H2= V^2/ R2T = 10^2/ 40*60= 150 watt