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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.
1786528_3152781d48b14c418c3741144cd3ecdd.png


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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