Which of the following statements is correct, if three resistors of equal value are connected in parallel across a constant voltage source?
Each resistor carries an equal current
In a parallel connection every resistor is connected directly across the same two terminals, so each has the full source voltage V across it.
With equal resistances R, each current is \(I = \frac{V}{R}\) — all three currents are equal, and the total current is \(3\frac{V}{R}\).
The other statements fail: the position of a resistor relative to the source does not matter in an ideal parallel circuit (connecting wires have negligible resistance), so no resistor “nearest the source” carries more; and the total current is three times that of a single resistor, not the same.
Hence, the answer is Each resistor carries an equal current.
Similar Questions
Which effect would you observe if one branch in a parallel resistor circuit is disconnected?
A circuit has three branches with resistors: 2 ohms, 4 ohms, and 8 ohms in parallel. Which statement correctly describes the current through the 2 ohm resistor compared to the 8 ohm resistor?
Two resistors of 3 Ω and X Ω are connected in parallel such that the effective resistance is 2 Ω. What is the value of X (in Ω)?
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Important Questions from Series and Parallel Connection of Resistance
How much resistance must be connected in parallel with a 360 Ω resistor to obtain an equivalent resistance Req of 120 Ω?
If n identical resistance, each of resistance R, are connected in parallel, the equivalent resistance is:
Three resisters of 3 ohm, 10 ohm and 15 ohm are connected in parallel in a 30 V circuit. The current will that flow through the 3-ohm resistor is:
- In which combination, the electrical appliances are connected at home?
For the figure shown below, find the value of conductance 'G' (in S).
