Chapter 4: Q17E (page 1014)

An air-filled toroidal solenoid has a mean radius of $15 c m$ and a cross-sectional area of $5 c m^{2}$ . When the current is $12 A$ , the energy stored is $0.39 J$ . How many turns does the winding have?

Short Answer

Expert verified

The number of turns is $2580$ .

Step by step solution

The formulas used in the problem

The stored energy in the toroid solenoid is given by $U = \frac{1}{2} L I^{2}$ .

The self-inductance in a toroid is given by $L = \frac{μ_{0} N^{2} A}{2 π r}$ .

Use the two equations to find the number of turns

Given that $r = 15 c m, A = 5 c m^{2}, U = 0.39 J$ and $I = 12 A$ .

Using the two equations, the number of turns can be given by

$N = \frac{2 π r L}{μ_{0} A} N = \frac{2 π \times 0.15 \times 5.417 \times 10^{- 3}}{4 π \times 10^{- 7} \times 5 \times 10^{- 4}} N = 2580$

So, the number of turns is $2580$ .

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An air-filled toroidal solenoid has a mean radius of $15 c m$ and a cross-sectional area of $5 c m^{2}$ . When the current is $12 A$ , the energy stored is $0.39 J$ . How many turns does the winding have?

Short Answer

Step by step solution

The formulas used in the problem

Use the two equations to find the number of turns

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An air-filled toroidal solenoid has a mean radius of15cmand a cross-sectional area of5cm2. When the current is12A, the energy stored is0.39J. How many turns does the winding have?

Short Answer

Step by step solution

The formulas used in the problem

Use the two equations to find the number of turns

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Rotational Dynamics

Dynamics

Famous Physicists

Further Mechanics and Thermal Physics

Physics of Motion

Astrophysics

Study anywhere. Anytime. Across all devices.

An air-filled toroidal solenoid has a mean radius of $15 c m$ and a cross-sectional area of $5 c m^{2}$ . When the current is $12 A$ , the energy stored is $0.39 J$ . How many turns does the winding have?