For the circuit shown, find reading of ideal voltmeter V₂ (in V). The 20 Ω–30 Ω and 10 Ω–15 Ω branches are shown with an 8 V source and 50 Ω resistance; both V₁ and V₂ are ideal.
Physics · Mixed Chapter
JEE Mains

Question

For the circuit shown, find reading of ideal voltmeter V₂ (in V). The 20 Ω–30 Ω and 10 Ω–15 Ω branches are shown with an 8 V source and 50 Ω resistance; both V₁ and V₂ are ideal.

G1 Physics · Accepted Answer

Step 1 — Look for a balanced bridge: The resistor ratios in the two corresponding divider arms are equal: 20/30 = 10/15 = 2/3. Step 2 — Potentials at the divider junctions: Equal divider ratios mean the two junctions have the same electric potential, regardless of the common source voltage. Ideal voltmeters draw no current and do not disturb this balance. Step 3 — Voltmeter reading: V₂ = potential difference between these junctions = 0 V. Answer: 0.