7. A battery of 10 volt carries 20,000 C of charge through a resistance of 20 ohm
The work done in 10 seconds is
(a) 2 x 10 joule
(b) 2 x 10 joule
(c) 2 x 104 joule
(d) 2 x 10 joule
Answers
Answer:
c) 2×104 joule is the right answer
Question - 7. A battery of 10 volt carries 20,000 C of charge through a resistance of 20 ohm
The work done in 10 seconds is
(a) 2 x 10^2 joule
(b) 2 x 10^3 joule
(c) 2 x 10^4 joule
(d) 2 x 10^5 joule
Answer -
Work done will be - (d) 2 x 10^5 joule
Work done by the battery is calculated by the formula -
P = w/t
Here, p represents power, w denotes work and t is for time.
Power in terms of voltage and current is calculated by the formula
- P = V*I
Current, when the charge is given, is calculated by the formula -
Q = I*t
I denote current, t is for time, and v represents voltage. Q is for a charge.
Now, putting given values in equation -
I = Q/t
I = 20,000/10
I = 2000 ampere.
P = 10*2000
Thus power will be 20,000 W of J/s
Now, work done will be -
W = 20,000*10
W = 2*10^5 J
Thus, work done by the battery will be 2*10^5 J.