Problem Analysis
The problem asks for the voltage across each resistor in a parallel circuit. We are given:
- Two resistors, each with a resistance of \(20\ \Omega\).
- These resistors are connected in parallel.
- The parallel combination is connected across a voltage supply of \(40\ V\).
We need to find the voltage across each individual \(20\ \Omega\) resistor.
Parallel Circuit Voltage Property
A fundamental property of parallel circuits is that the voltage across all components connected in parallel is the same. This voltage is equal to the voltage of the source supplying the circuit.
In this specific circuit:
- The two \(20\ \Omega\) resistors are connected in parallel with each other.
- This parallel arrangement is directly connected to the \(40\ V\) supply.
Therefore, the voltage across the first resistor (\(V_1\)) must be equal to the supply voltage, and the voltage across the second resistor (\(V_2\)) must also be equal to the supply voltage.
Voltage Across Each Resistor
Applying the parallel circuit property:
- Voltage across the first resistor, \(V_1 = V_{supply}\)
- Voltage across the second resistor, \(V_2 = V_{supply}\)
Given that the supply voltage is \(40\ V\):
- \(V_1 = 40\ V\)
- \(V_2 = 40\ V\)
Thus, the voltage across each resistor is \(40\ V\).
Similar Questions
- Two resistors, one of \(20\ \Omega\) and the other of \(30\ \Omega\), are connected in parallel. This combination is connected in series with an \(8\ \Omega\) resistor and a 12-V battery. The current through the \(20\ \Omega\) resistor is:
- Two resistors, each of \(20\ \Omega\), are connected in parallel, and this combination is connected across a 40-V supply. Find the voltage across each resistor.
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Important Questions from Combination of Resistors — Series and Parallel
A cell of negligible resistance and e.m.f 2 volt is connected to series combination of 2 ohm, 3 ohm and 5 ohm. The potential difference across the 3 ohm resistance is:
3 resistors of 3 ohm each connected in series. What is the mean values of resistors?
Ten cells, each of 2 volts emf and 1 ohm internal resistance are connected in series. What is the current flowing through a resistance of 10 ohms connected across this combination of cells?
Three resistor, each equal to 3 Ω are connected so as to form a triangle. The equivalent resistance between any two vertices of the triangle is:
- Two resistors R 1 and R 2 arranged in parallel combination in an electrical closed circuit are made of the same material and of the same thickness. If the length of R 2 is twice the length of R 1, then the total resistance R satisfies
