Question

Attempt either (a) or (b): **(a)** Calculate the total resistance of the given circuit and find the total current flowing in it.

Accepted Answer

1. **Branch 2 resistance:** $$R_{34} = R_3 + R_4 = 6 + 4 = 10\ \Omega$$ 2. **Parallel combination of $R_2$ and $R_{34}$:** $$\frac{1}{R_p} = \frac{1}{10} + \frac{1}{10} = \frac{2}{10} = \frac{1}{5} \implies R_p = 5\ \Omega$$ 3. **Total equivalent resistance ($R_{eq}$):** $$R_{eq} = R_1 + R_p = 1 + 5 = 6\ \Omega$$ 4. **Total current ($I$):** $$I = \frac{V}{R_{eq}} = \frac{12	ext{ V}}{6\ \Omega} = 2	ext{ A}$$

Circuit analysis with parallel and series combination

Explanation

Practise this under board exam conditions