Each resistor carries the same I, with power $I^2R$. Their current limits are $\sqrt{1/100}=0.1$ A, $\sqrt{0.5/2}=0.5$ A and $\sqrt{0.25/1}=0.5$ A. The smallest limit governs the series circuit. Thus I must not exceed 0.1 A, option C.
More Circuit laws and network theorems: Independent, dependent, ideal and practical sources, Kirchhoff's laws, mesh and nodal analysis, star-delta transformation, superposition, Thevenin's, Norton's, Miller's, maximum power transfer and reciprocity theorems questions
GATE 2020 IN Q40– For mesh currents I₁,I₂,I₃ and source polarities in the circuit shown, which matrix…
GATE 2020 IN Q59– The capacitor network, DC source and amplifier of gain G = −5 are shown. Find effective…
GATE 2026 IN Q32– The potential difference between nodes A and B in a circuit is v A-v B=5\ V. The work done…
GATE 2026 IN Q40– In the circuit shown below, the value of the output voltage V 0 is V.
GATE 2023 IN Q31– In the circuit given, the Thevenin equivalent resistance Rth across the terminals ‘a’ and…
GATE 2022 IN Q54– For Circuit A with shown currents I 1,I 2, the current I 3 in Circuit B is A (one decimal…
