When 4 equal resistors are connected in series with a battery they dissipate power of 10W. The power dissipated through any of them if connected across the same battery will be _____?
Answer: 40 W
Explanation
When four equal resistors are connected in series, the total resistance (R_total) is:
R_total = 4R
The power dissipated (P) is:
P = V² / R_total
Given P = 10 W, we can rewrite the equation as:
10 = V² / (4R)
Now, if one resistor is connected across the same battery, the power dissipated (P') will be:
P' = V² / R
Comparing the two equations, we can see that:
P' = 4P
= 4 × 10 W
= 40 W
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