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GUJCET · Physics · Current Electricity
Four identical resistors are connected in series with a battery that dissipates 20 W of power. What will be the power dissipated that is the same as the resistors that are connected in a parallel ?
- A 320 W
- B 5 W
- C 100 W
- D 80 W
Answer & Solution
Correct Answer
(A) 320 W
Step-by-step Solution
Detailed explanation
(A)
equivalent power in series connection
\(P _s=\frac{ P }{n}\)
\(\begin{array}{ll}\therefore 20=\frac{P}{4} \\ \therefore P=80 W\end{array}\)
for parallel connection
\(\begin{array}{ll} P _{ P }=n P \\ \therefore P _{ P }=4 \times 80 \\ \therefore P _{ P }=320 W\end{array}\)
equivalent power in series connection
\(P _s=\frac{ P }{n}\)
\(\begin{array}{ll}\therefore 20=\frac{P}{4} \\ \therefore P=80 W\end{array}\)
for parallel connection
\(\begin{array}{ll} P _{ P }=n P \\ \therefore P _{ P }=4 \times 80 \\ \therefore P _{ P }=320 W\end{array}\)
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