Home
Class 12
PHYSICS
A tightly- wound solenoid of radius a an...

A tightly- wound solenoid of radius a and length l has n turns per unit length. It carries an electric current i. Consider a length dx of the solenoid at a distance x from one end. This contains n dx turns and may be approximated as a circular current I n dx. (a) Write the magnetic field at the centre of the solenoid due to this circular current. Integrate this expression under proper limits to find the magnetic field at the centre of the solenoid. (b) Verify that if lgtgta, the field tends to `(B=(mu_0)ni) and if agtgt1`, the field tends to` B= ((mu_0)nil/2a) . Interpret these results.

Promotional Banner

Similar Questions

Explore conceptually related problems

A tightly- wound solenoid of radius a and length l has n turns per unit length. It carries an electric current i. Consider a length dx of the solenoid at a distance x from one end. This contains n dx turns and may be approximated as a circular current I n dx. (a) Write the magnetic field at the center of the solenoid due to this circular current. Integrate this expression under proper limits to find the magnetic field at the center of the solenoid. (b) Verify that if lgtgta , the field tends to (B=(mu_0ni) and if agtgt1 , the field tends to B= ((mu_0)nil/2a) . Interpret these results.

A tightly- wound solenoid of radius a and length l has n turns per unit length. It carries an electric current i. Consider a length dx of the solenoid at a distance x from one end. This contains n dx turns and may be approximated as a circular current I n dx. (a) Write the magnetic field at the center of the solenoid due to this circular current. Integrate this expression under proper limits to find the magnetic field at the center of the solenoid. (b) Verify that if lgtgta , the field tends to (B=(mu_0ni) and if agtgt1 , the field tends to B= ((mu_0)nil/2a) . Interpret these results.

A tightly wound solenoid of radius 'a' and length 'l' has n turns per unit length. It carries an electric current i. Magnetic field at a distance (l)/(4) from one of the end (inside the solenoid on its axis) is B=(mu_(0)ni(sqrt5+3))/(sqrtK) for l=4a . Then find the value of K.

A tightly wound solenoid of radius 'a' and length 'l' has n turns per unit length. It carries an electric current i. Magnetic field at a distance (l)/(4) from one of the end (inside the solenoid on its axis) is B=(mu_(0)ni(sqrt5+3))/(sqrtK) for l=4a . Then find the value of K.

A tightly wound solenoid of radius 'a' and length 'l' has n turns per unit length. It carries an electric current i. Magnetic field at a distance (l)/(4) from one of the end (inside the solenoid on its axis) is B=(mu_(0)ni(sqrt5+3))/(sqrtK) for l=4a . Then find the value of K.

A solenoid of length 'l' having n turns carries current 'I'. Deduce the expression for the magnetic field in the interrior of the solenoid.

A solenoid of radius R has n turns per unit length, then the self-inductance of the solenoid per unit length is

A long solenoid has a radius a and number of turns per unit length is n . If it carries a current i, then the magnetic field on its axis is directly proportional to

A long solenoid has a radius a and number of turns per unit length is n . If it carries a current i, then the magnetic field on its axis is directly proportional to