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In a parallel circuit, with a number of resistors, the voltage across each resistor is ________
- a)The same for all resistors
- b)Is divided equally among all resistors
- c)Is divided proportionally across all resistors
- d)Is zero for all resistors
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In a parallel circuit, with a number of resistors, the voltage across ...
In parallel circuits, the current across the circuits vary whereas the voltage remains the same.
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In a parallel circuit, with a number of resistors, the voltage across ...
Explanation:
In a parallel circuit, the voltage across each resistor is the same. This is a fundamental property of parallel circuits and is known as the voltage division rule.
Reasoning:
When resistors are connected in parallel, each resistor has the same voltage across it. This is because parallel branches in a circuit have the same potential difference or voltage across them.
Illustration:
To understand this concept, let's consider a simple parallel circuit with three resistors (R1, R2, and R3) connected to a voltage source (V).
In this circuit, the voltage across R1, denoted as V1, will be the same as the voltage across R2 (V2) and the voltage across R3 (V3).
Mathematical Representation:
We can mathematically represent this as follows:
V1 = V2 = V3 = V
Where V1, V2, and V3 represent the voltage across resistors R1, R2, and R3, respectively, and V represents the total voltage across the circuit.
Explanation:
The reason for this is that in a parallel circuit, each resistor has its own path for current to flow. The current splits at the junction and flows through each resistor independently.
Since the voltage across a resistor is defined as the potential difference across its terminals, and the terminals of each resistor are connected to the same two points in the circuit, the voltage is the same for all resistors.
Conclusion:
Therefore, in a parallel circuit, the voltage across each resistor is the same. This property allows each resistor to have its own individual current flowing through it, determined by Ohm's Law (I = V/R), where I is the current, V is the voltage, and R is the resistance.
In a parallel circuit, the voltage across each resistor is the same. This is a fundamental property of parallel circuits and is known as the voltage division rule.
Reasoning:
When resistors are connected in parallel, each resistor has the same voltage across it. This is because parallel branches in a circuit have the same potential difference or voltage across them.
Illustration:
To understand this concept, let's consider a simple parallel circuit with three resistors (R1, R2, and R3) connected to a voltage source (V).
In this circuit, the voltage across R1, denoted as V1, will be the same as the voltage across R2 (V2) and the voltage across R3 (V3).
Mathematical Representation:
We can mathematically represent this as follows:
V1 = V2 = V3 = V
Where V1, V2, and V3 represent the voltage across resistors R1, R2, and R3, respectively, and V represents the total voltage across the circuit.
Explanation:
The reason for this is that in a parallel circuit, each resistor has its own path for current to flow. The current splits at the junction and flows through each resistor independently.
Since the voltage across a resistor is defined as the potential difference across its terminals, and the terminals of each resistor are connected to the same two points in the circuit, the voltage is the same for all resistors.
Conclusion:
Therefore, in a parallel circuit, the voltage across each resistor is the same. This property allows each resistor to have its own individual current flowing through it, determined by Ohm's Law (I = V/R), where I is the current, V is the voltage, and R is the resistance.
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In a parallel circuit, with a number of resistors, the voltage across ...
The same for all resistars
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In a parallel circuit, with a number of resistors, the voltage across each resistor is ________a)The same for all resistorsb)Is divided equally among all resistorsc)Is divided proportionally across all resistorsd)Is zero for all resistorsCorrect answer is option 'A'. Can you explain this answer?
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