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Assertion : If potential difference acro...

Assertion : If potential difference across two points is zero, current between these two points should be zero.
Reason : Current passing from a resistor `I=V/R`

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

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The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states: "If the potential difference across two points is zero, current between these two points should be zero." - **Analysis**: If the potential difference (V) between two points A and B is zero (V_AB = 0), it implies that both points are at the same electric potential. According to Ohm's Law, the current (I) through a resistor is given by the formula: \[ I = \frac{V}{R} \] If V = 0, then I = 0, which suggests that no current would flow between these two points if they are connected through a resistor. ### Step 2: Understand the Reason The reason states: "Current passing from a resistor I = V/R." - **Analysis**: This is a correct statement according to Ohm's Law. It indicates that the current through a resistor is directly proportional to the voltage across it and inversely proportional to the resistance (R). ### Step 3: Evaluate the Assertion and Reason Together While the reason is correct, the assertion is not universally true. - **Counterexample**: Consider a circuit with multiple branches. If two points are at the same potential but connected to different paths with resistors, current can still flow through those paths even if the potential difference between those two points is zero. Therefore, the assertion is false. ### Conclusion - **Assertion**: False - **Reason**: True - **Final Statement**: The assertion is false, but the reason is true; however, the reason does not correctly explain the assertion.

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states: "If the potential difference across two points is zero, current between these two points should be zero." - **Analysis**: If the potential difference (V) between two points A and B is zero (V_AB = 0), it implies that both points are at the same electric potential. According to Ohm's Law, the current (I) through a resistor is given by the formula: \[ ...
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Knowledge Check

  • When a potential difference is applied across, the current passing through

    A
    an insulator at 0 K is zero
    B
    a semiconductor at 0 K is zero
    C
    a metal at 0 K is finite
    D
    a p-n diode at 300K is finite, if it is reverse biased
  • Statement-1: If potential difference between two points is zero and resistance between those points is zero, current may flow between the points. Statement-2: Kirchhoff's 1^(st) law is based on conservation of charge.

    A
    Statement-1 is True,Statement-2 is True, Statement-2 is a correct explanation for Statement-1
    B
    Statement-1 is True,Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
    C
    Statement -1 is True, Statement-2 is false.
    D
    Statement-1 is False, Statement-2 is True.
  • If path difference between two interfering waves is zero, then the point will be

    A
    dark
    B
    bright
    C
    as it is
    D
    either dark of bright
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