Question

how would the strength of magnetic field due to current carrying loop be affected if (1) radius of loop is reduced to half of the original value (2) strength of the current through loop is doubled

Answer 1

Answer:

(1) Increases

(2) Increases

Explanation:

The magnetic field through the current carrying loop is given below, this formula is derived using the Biot-Savart law:

$B=\frac{\mu_{0} I}{2 R}$

Where,  

B = Magnetic field

I = Current

R = Loop's radius

Illustration:

(1) When the radius of the loop decreases (halved), the magnetic field strength increases. (Numerator > Denominator)

(2) When the current strength increases (doubled), the magnetic field strength increases. (Numerator > Denominator)

Answer 2

Biot Savrat Law affects the strength of magnetic field induced due to current flowing through the loop.

Explanation:

(1)When the loop’s radius is decreased as magnetic field strength formula is inversely proportional to radius of the loop, becomes double of the magnetic field strength.

(2) When the loop’s current is doubled as the magnetic field strength formula is directly proportional to current flowing in to the loop, becomes double of the magnetic field strength.