The equivalent resistance of series combination of four equal resistors is S. If they are joined in parallel, the total resistance is P. The relation between S and P is given by S = nP. Then the minimum possible value of n is
  • a)
    12
  • b)
    14
  • c)
    16
  • d)
    10
Correct answer is option 'C'. Can you explain this answer?

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Answers

Universal Academy
Jan 24, 2022
Let Resistance of each resistor is = R
In series connection:
Req1 = 4R = S
R = S/4 → (1)
In parallel connection
Req2 = R4 = P
R = 4/P → (2)
Equating (1) and (2)
S/4 = 4P
S = 16P
n = 16

Let Resistance of each resistor is = RIn series connection:Req1= 4R = SR = S/4 → (1)In parallel connectionReq2= R4 = PR = 4/P → (2)Equating (1) and (2)S/4 = 4PS = 16Pn = 16
Let Resistance of each resistor is = RIn series connection:Req1= 4R = SR = S/4 → (1)In parallel connectionReq2= R4 = PR = 4/P → (2)Equating (1) and (2)S/4 = 4PS = 16Pn = 16