Question

# Find out the following in the electric circuit given in figure alongside:(a) Effective resistance of two $$8\Omega$$ resistors in the combination(b) Current flowing through $$4\Omega$$ resistor(c) Potential difference across $$4\Omega$$ resistance(d) Power dissipated in $$42$$ resistor(e) Difference in ammeter readings, if any.

Solution

## (a) $$R = \dfrac {R_{1}R_{2}}{R_{1}R_{2}} = \left (\dfrac {8\times 8}{8 + 8}\right ) = 4\Omega$$(b) $$I = \dfrac {V}{R} = \dfrac {8}{4 + \left (\dfrac {8\times 8}{8 + 8}\right )} = \dfrac {8}{8} = 1A$$(c) $$V = IR = 1\times 4 = 4V$$(d) $$P = I^{2} R = 1^{2}\times 4 = 4W$$(e) No difference, same current flows through each element in a series circuit.Physics

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