Calculate the amount of work done to draw a current of 8A from a point at 100V to a point at 120V in 2 seconds.
Answers
Answer:
final potential - initial potential = work done / charge
thus , charge = current × time = 16
net potential = 20 v
work done from the above formulae is ,
20 ×16 = work done
320 joule = work done
Concept:
Here, we need to apply the relationship in between work and potential difference which is given as, W = ΔV×q.
Given:
Current = 8A
Change in potential difference, ΔV = 120V - 1000 V = 20V
time = 2seconds
Find:
We need to determine the amount of work done.
Solution:
Work completed and potential differences are related as follows:
W = ΔV×q.
Here, q is the charge, and ΔV is the change in potential difference.
As charge is provided as, q = it Here, the current i is present, and the time is t.
Relation thus becomes,
W = ΔV × it
We have, ΔV = 20 V, current as 8 A and time as 2 seconds.
Therefore, formula of work done becomes,
W = 20 × 8×2
W = 320J
Thus, the amount of work done is 320 J.
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