Chapter 32: Q. 50 (page 926)

A series $R L$ circuit is built with a role="math" localid="1650111235060" $110 Ω$ resistor and a $5.0 - c m -$ long, $1.0 - c m -$ diameter solenoid with $800$ turns of wire. What is the peak magnetic flux through the solenoid if the circuit is driven by a $12 V, 5.0 k H z$ source?

Short Answer

Expert verified

The peak magnetic flux through the solenoid is $1.72 \times 10^{- 7} W b$ .

Step by step solution

Given Information

We are given that $110 Ω$ resistor , $5.0 - c m -$ long solenoid with $1.0 - c m -$ diameter . The no of turns are given as $800$ . We are given that the source has $12 V$ voltage andlocalid="1650110781883" $5.0 k H z$ localid="1650111296897" $5 k H z$ frequency .

We need to find peak magnetic flux .

Simplify

Firstly , we will find area of cross-section $\Rightarrow A = π \times r^{2} = π \times {(0.5 \times 10^{- 2} m)}^{2} = 0.78 \times 10^{- 4} m^{2}$ Then , we will calculate current , $R = \frac{ε_{0}}{I} \Rightarrow I = \frac{ε_{0}}{R} = \frac{12}{110} = 0.108 A$ .

now we will calculate magnetic field , $B = μ n I$ ,here $n$ $n$ is no of turns per unit length, $I$ $I$ is current.

localid="1650111307310" $B = 4 π \times 10^{- 7} \times (\frac{800}{0.05}) \times 0.109 = 0.00219 T$

also magnetic flux , $ϕ = B A = 0.00219 \times 0.78 \times 10^{- 4} W b = 1.72 \times 10^{- 7} W b$ .

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A series $R L$ circuit is built with a role="math" localid="1650111235060" $110 Ω$ resistor and a $5.0 - c m -$ long, $1.0 - c m -$ diameter solenoid with $800$ turns of wire. What is the peak magnetic flux through the solenoid if the circuit is driven by a $12 V, 5.0 k H z$ source?

Short Answer

Step by step solution

Given Information

Simplify

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A series RLcircuit is built with a role="math" localid="1650111235060" 110Ωresistor and a 5.0-cm- long,1.0-cm-diameter solenoid with 800turns of wire. What is the peak magnetic flux through the solenoid if the circuit is driven by a 12V,5.0kHzsource?

Short Answer

Step by step solution

Given Information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physics of Motion

Force

Geometrical and Physical Optics

Medical Physics

Further Mechanics and Thermal Physics

Fields in Physics

Study anywhere. Anytime. Across all devices.

A series $R L$ circuit is built with a role="math" localid="1650111235060" $110 Ω$ resistor and a $5.0 - c m -$ long, $1.0 - c m -$ diameter solenoid with $800$ turns of wire. What is the peak magnetic flux through the solenoid if the circuit is driven by a $12 V, 5.0 k H z$ source?