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?
Let Resistance of each resistor is = R In series connection: R_{eq1} = 4R = S R = S/4 → (1) In parallel connection R_{eq2} = 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
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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