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The magnetic field due to current carrying circular loop of radius 3 cm at a point on the axis at a distance of 4 cm from the centre is 54 T.What will be its value at the centre of loop? a)200 b)250 c)125 d)75?
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The magnetic field due to current carrying circular loop of radius 3 c...
The magnetic field at the center of a circular loop carrying current can be determined using Ampere's Law. Ampere's Law states that the magnetic field along a closed loop is directly proportional to the current passing through the loop.

Given:
Radius of the circular loop (r) = 3 cm
Distance from the center of the loop to the point on the axis (d) = 4 cm
Magnetic field at the point on the axis (B) = 54 T

To find the magnetic field at the center of the loop, we can use the formula:

B = (μ₀ * I * R²) / (2 * R³)

Where:
μ₀ is the permeability of free space (4π × 10^-7 T·m/A)
I is the current passing through the loop
R is the radius of the loop

We need to find the value of B at the center of the loop, so R will be equal to 0.

1. Substituting the given values into the formula:
54 = (4π × 10^-7 * I * 0²) / (2 * 0³)

2. Simplifying the equation:
54 = 0 / 0

Since the equation is indeterminate (0/0), we cannot determine the magnetic field at the center of the loop using this method.

Therefore, the correct answer cannot be determined from the given information.

- No value can be calculated for the magnetic field at the center of the loop based on the information provided.
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The magnetic field due to current carrying circular loop of radius 3 cm at a point on the axis at a distance of 4 cm from the centre is 54 T.What will be its value at the centre of loop? a)200 b)250 c)125 d)75?
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