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Assertion Magnetic flux and the electric...

Assertion Magnetic flux and the electric flux have the same units.
Reason Flux passing throught a surface gives an idea about the field lines crossing that surface

A

If both Assertion and Reason are corrent and Reason is the corrent explanation of Assertion.

B

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

C

If Assertion is true but Reason is false.

D

If Assertion is false but Reason is ture.

Text Solution

AI Generated Solution

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 that "Magnetic flux and electric flux have the same units." - **Electric Flux (Φ_E)** is defined as the product of the electric field (E) and the area (A) through which it passes, mathematically expressed as: \[ Φ_E = \vec{E} \cdot \vec{A} \] The unit of electric flux is volt-meter (V·m) or equivalently, newton-meter squared per coulomb (N·m²/C). - **Magnetic Flux (Φ_B)** is defined similarly as the product of the magnetic field (B) and the area (A) through which it passes: \[ Φ_B = \vec{B} \cdot \vec{A} \] The unit of magnetic flux is weber (Wb), which can also be expressed as tesla-meter squared (T·m²). ### Step 2: Compare Units Now, we compare the units of electric flux and magnetic flux: - Electric Flux: V·m or N·m²/C - Magnetic Flux: Wb or T·m² Since the units of electric flux and magnetic flux are different, the assertion is **false**. ### Step 3: Understand the Reason The reason states that "Flux passing through a surface gives an idea about the field lines crossing that surface." This statement is indeed correct. Both electric flux and magnetic flux represent the number of field lines passing through a given area. Thus, the reason is **true**. ### Step 4: Conclusion Based on our analysis: - The assertion is false. - The reason is true. Thus, the correct answer is that the assertion is false, but the reason is true. ### Final Answer The assertion is false, and the reason is true.

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "Magnetic flux and electric flux have the same units." - **Electric Flux (Φ_E)** is defined as the product of the electric field (E) and the area (A) through which it passes, mathematically expressed as: \[ Φ_E = \vec{E} \cdot \vec{A} ...
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Knowledge Check

  • The net magnetic flux through any closed surface, kept in a magnetic field is

    A
    zero
    B
    `(mu_(0))/(4pi)`
    C
    `4pimu_(0)`
    D
    `(4mu_(0))/(pi)`
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