If a 87.9 V emf is connected to the terminals A and B and the current in the 4 ? resistor is 13 A, what is the value of the unknown resistor R?
Here ,
for the resistors in parallel
1/Rp = 1/R1 + 1/R2
Rp = R1 * R2/(R1 + R2)
for resistor in series
Rs = R1 + R2 + ..
for the given circuit
R and 2 Ohm are in series
Rs = R + 2
Rs and 7 Ohm are in parallel
(R + 2) * 7/(R + 2 + 7) = Rp
Rp and 4 are in series
Req = 4 + (R + 2) * 7/(R + 2 + 7)
Now , using Ohm's law
Req = E/I
4 + (R + 2) * 7/(R + 2 + 7) = 87.9/13
solving for R
R = 2.56 Ohm
the resistance R is 2.56 Ohm
If a 87.9 V emf is connected to the terminals A and B and the current...
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