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Chapter 30: Q. 10 (page 870)

A solenoid is wound as shown in FIGURE EX30.10.
a. Is there an induced current as magnet 1 is moved away from the solenoid? If so, what is the current direction through resistor R ?
b. Is there an induced current as magnet 2 is moved away from the solenoid? If so, what is the current direction through resistor R?

Short Answer

Expert verified

a.) This occurs when current flows from left to right in resistance.

b.)No, because the area vector of the solenoid loop is perpendicular to the magnetic field, there will be no induced flux or change in flux, and thus no resultant current.

Step by step solution

01

Step1:definition of solenoid

Solenoid in Physics A solenoid is a simple term for a wire coil that serves as an electromagnet. A solenoid is a device that can convert electrical energy into mechanical energy. It actually generates a magnetic field from the electric current in order to generate linear motion

02

Magnetic field works(part a)

a.) The magnetic field of the magnetic bar is to the left; if we move it away, the magnetic field will begin to decrease, causing current to be induced in the loop in such a way that the magnetic field to the left will increase. This occurs when the current flows from left to right in resistance.

03

Current direction(part b)

b.) No, there will be no induced flux or change in flux, and thus no resultant current, because the area vector of the solenoid loop is perpendicular to the magnetic field.

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Most popular questions from this chapter

MRI (magnetic resonance imaging) is a medical technique that produces detailed “pictures” of the interior of the body. The patient is placed into a solenoid that is 40 cm in diameter and 1.0 m long. A 100 A current creates a 5.0 T magnetic field inside the solenoid. To carry such a large current, the solenoid wires are cooled with liquid helium until they become superconducting (no electric resistance).

a. How much magnetic energy is stored in the solenoid? Assume that the magnetic field is uniform within the solenoid and quickly drops to zero outside the solenoid.

b. How many turns of wire does the solenoid have?

69. II The current through inductance $L$ is given by $I = I_{0} \sin ω t$ .

CALC a. Find an expression for the potential difference $Δ V_{L}$ across the inductor.

b. The maximum voltage across the inductor is $0.20 V$ when $L = 50 μ H$ and $f = 500 kHz$ . What is $I_{0}$ ?

The square loop shown in $F I G U R E P 30.53$ moves into a $0.80 T ALC$ magnetic field at a constant speed of $10 m / s$ .The loop has a resistance of $0.10 Ω$ , and it enters the field at $t = 0 s .$

a. Find the induced current in the loop as a function of time. Give your answer as a graph of ii versus $t$ from $t = 0 s$ to $t = 0.020 s .$

b. What is the maximum current? What is the position of the loop when the current is maximum?

FIGURE EX30.5 shows a $10 cm \times 10 cm$ square bent at a $90^{\circ}$ angle. A uniform $0.050 T$ magnetic field points downward at a $45^{\circ}$ angle. What is the magnetic flux through the loop?

66. II FIGURE P30.66 shows the current through a $10 mH$ inductor. Draw a graph showing the potential difference $Δ V_{L}$ across the inductor for these $6 ms$ .

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