0: Due to 10 Amp of current flowing in a circular coil of 10 cm radius, the mag. field produced

step 1 In this problem given that i is equal to 10 a is equal to 10 centimeter which is equal to 10 mul

0: Due to 10 Amp of current flowing in a circular coil of 10...

0: Due to 10 Amp of current flowing in a circular coil of $10 \mathrm{~cm}$ radius, the mag. field produced at its centre is $\pi \times 10^{-3}$ Tesla. The number of turns in the coil will be
(a) 5000
(b) 100
(c) 50
(d) 25

Key Concepts

Geometric Influence on Magnetic Field

The geometry of the coil, particularly the radius of the circular loops, plays an important role in determining the magnetic field strength. A larger radius generally means the current elements are further away from the center, which tends to decrease the magnetic field, as indicated by the inverse relationship in the magnetic field equations.

Magnetic Field of a Circular Loop

This concept involves calculating the magnetic field at the center of a loop carrying electrical current. The field is derived by applying the Biot-Savart law, which indicates that the magnetic field created by a small segment of current loops is proportional to the current and inversely proportional to the distance from the point where the field is measured.

Effect of Coil Turns

When a coil has multiple turns, each loop contributes to the total magnetic field at the center. The overall magnetic field is the sum of the fields due to individual turns, leading to a multiplication of the single loop's magnetic field by the number of turns. This concept is crucial for designing electromagnets and inductors.

Role of Current in Magnetic Field Generation

The magnitude of the current flowing through a conductor is directly proportional to the magnetic field generated. In configurations like a circular coil, increasing the current results in a proportionate increase in the magnetic field at the center, following the principles set by Biot-Savart law.

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