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प्रश्न
Consider the circuit shown in the figure. Find the current through the 10 Ω resistor when the switch S is (a) open (b) closed.
बेरीज
उत्तर
(a) When S is open, the resistors will be connected in series, as the current will flow through the 20 Ω resistor. The effective resistance,
\[R_{eff} = \left( 10 + 20 \right) \Omega = 30 \Omega\]
The current flowing through the circuit,
\[i = \left( \frac{3}{30} \right) A = 0 . 1 A\]
(b) When S is closed, current will flow through the switch that offers the least resistive path. So, the 20 Ω resistance will be ineffective in this case. The effective resistance in this case,
\[R_{eff} = 10 \Omega\]
The current flowing through the circuit,
\[i = \left( \frac{3}{10} \right) A = 0 . 3 A\]
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