asked 222k views
5 votes
A parallel DC circuit has a total current of 4 Amperes and a resistance of .5 Ohms. If the current is doubled, and the resistance is halved, how many times more is the new power compared to the old power?

asked
User LiMuBei
by
7.8k points

1 Answer

1 vote
The answer is 2 times.

In parallel DC circuit the power (P) can be calculated by using the values of total current (I) and resistance (R):
P = I²R

The old power is:
Po = Io² x Ro
Io = 4 A
Ro = 0.5 ohms (Ω)
So, Po = 4² A x 0.5 Ω = 8 W

The new power is:
Pn = In² x Rn
In = 4 A x 2 = 8 A
Rn = 0.5 Ω ÷ 2 = 0.25 Ω
So, Po = 8² A x 0.25 Ω = 16 W

Pn ÷ Po = 16 W ÷ 8 W = 2
Thus, the new power is 2 x higher than the old power.
answered
User JonnyJD
by
8.0k points
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