Parallel Resistor Voltage Analysis
Key Principle for Parallel Circuits:
- When components are connected in parallel, the voltage across each component is identical to the voltage across the source supplying them.
- This is a fundamental property of parallel electrical connections.
Problem Details:
- The resistors are connected in parallel.
- The supply voltage (\(V_{supply}\)) is given as \(40\ \text{V}\).
- Each resistor has a resistance (\(R\)) of \(20\ \Omega\).
Voltage Calculation:
- Because the two \(20\ \Omega\) resistors are connected in parallel across the \(40\ \text{V}\) supply, the voltage drop across each individual resistor (\(V_R\)) must be equal to the supply voltage.
- Thus, the voltage across each resistor is \(V_R = V_{supply}\).
- \(V_R = 40\ \text{V}\).
Conclusion:
- The voltage across each of the \(20\ \Omega\) resistors is \(40\ \text{V}\).
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 \(100\text{-}\Omega\) resistors are connected in parallel, and this combination is connected across a 40-V supply. Find the current supplied by the voltage source.
- Two resistors 1 ohm and 2 ohm are connected in series. The effective resistance is
- Two resistors, each of \(10\ \Omega\), are connected in parallel. This combination is then connected in series with a third \(10\ \Omega\) resistor and a 6 V battery. The current in the circuit is ______.
- Two resistors, one of \(8\ \Omega\) and the other of \(24\ \Omega\) are connected in parallel. This combination is connected in series with a \(14\ \Omega\) resistor and a 12 V battery. The current in the \(8\ \Omega\) resistor is:
- Two resistors, A and B are connected in parallel combination in an electric circuit as to have an equivalent resistance of \(3\,\Omega\). On connecting the resistors A and B in series combination the equivalent resistant is found to be \(12\,\Omega\). Then the resistance R1 and R2 of the two resistors A and B respectively could be
- 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.
- Two \(100\ \Omega\) resistors are connected in parallel, and this combination is connected across a 40-V supply. Find the current supplied by the voltage source.
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
