Chapter 4: Q14E (page 1013)

A long, straight solenoid has $800$ turns. When the current in the solenoid is $2.9 A$ , the average flux through each turn of the solenoid is $3.25 \times 10^{- 3} W b$ . What must be the magnitude of the rate of change of the current in order for the self-induced emf to equal $6.2 m V$ ?

Short Answer

Expert verified

The rate of change of current is $8.37 \times 10^{- 3} A / s$ .

Step by step solution

The formula to calculate the EMF induced

The formula to calculate the induced EMF is $| ε | = | - L \frac{d i}{d t} |$ .

All the values provided in the problem are positive. So, do not need to worry about the negative expression.

Calculate the rate of change of current

Given that $ε = 6.2 m V, I = 2.9 A, N = 800 and ϕ_{B_{A u g}} = 3.25 \times 10^{- 3} W b .$ .

$\frac{d i}{d t} = \frac{ε}{L} \frac{d i}{d t} = \frac{ε}{\frac{N ϕ_{B_{A u g}}}{I}} \frac{d i}{d t} = \frac{6.2 x 10^{- 3} x 2.9}{800 x 3.25 x 10^{- 3}} \frac{d i}{d t} = 8.37 x 10^{- 3} A / s$

So, the rate of change of current is $8.37 x 10^{- 3} A / s$ .

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A long, straight solenoid has $800$ turns. When the current in the solenoid is $2.9 A$ , the average flux through each turn of the solenoid is $3.25 \times 10^{- 3} W b$ . What must be the magnitude of the rate of change of the current in order for the self-induced emf to equal $6.2 m V$ ?

Short Answer

Step by step solution

The formula to calculate the EMF induced

Calculate the rate of change of current

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A long, straight solenoid has 800turns. When the current in the solenoid is 2.9A, the average flux through each turn of the solenoid is 3.25×10-3Wb. What must be the magnitude of the rate of change of the current in order for the self-induced emf to equal 6.2mV?

Short Answer

Step by step solution

The formula to calculate the EMF induced

Calculate the rate of change of current

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Kinematics Physics

Nuclear Physics

Wave Optics

Linear Momentum

Physical Quantities And Units

Rotational Dynamics

Study anywhere. Anytime. Across all devices.

A long, straight solenoid has $800$ turns. When the current in the solenoid is $2.9 A$ , the average flux through each turn of the solenoid is $3.25 \times 10^{- 3} W b$ . What must be the magnitude of the rate of change of the current in order for the self-induced emf to equal $6.2 m V$ ?