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A solenoid of radius R and length L has ...

A solenoid of radius R and length L has a current `I = I​_0` cosωt. The value of induced electric field at a distance of r outside the solenoid, is

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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 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.

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 long thin solenoid has 900"tuns"//"metre" and radius 2.50cm ,. The current in the solenoid is increasing at a uniform rate of 60A//s . What is the magnitude of the induced electric field at a point? a. 0.5cm from the axis of the solenoid. b. 1.0cm from the axis of the solenoid.

A long thin solenoid has 900"tuns"//"metre" and radius 2.50cm ,. The current in the solenoid is increasing at a uniform rate of 60A//s . What is the magnitude of the induced electric field at a point? a. 0.5cm from the axis of the solenoid. b. 1.0cm from the axis of the solenoid.