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प्रश्न
Calculate the equivalent resistance of the circuit diagram shown in the figure.
संख्यात्मक
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उत्तर
Equivalent resistance of A and B in series
\[ \mathrm{R}_{1} = (4 + 8) = 12 \ \Omega \]
\(\therefore\) Equivalent resistance of C and D in series
\[ \mathrm{R}_{2} = (1.5 + 4.5) = 6 \ \Omega \]
Equivalent resistance of \(\mathrm{R}_{1}\), \(\mathrm{R}_{2}\) and E in parallel
\[ \frac{1}{\mathrm{R}_{p}} = \frac{1}{12} + \frac{1}{6} + \frac{1}{3} \]
\[ = \frac{1 + 2 + 4}{12} \]
\[ = \frac{7}{12} \]
\[ \mathrm{R}_{p} = \frac{12}{7} \]
\[ = 1.71 \ \Omega\]
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