A current loop of 2-m radius creates 5 T magnetic field at the center of the loop. A student makes a solenoid out of the same loop wire. He measures the length of the solenoid that is 37 cm and counts the number of turns (that is 76). Calculate the magnetic field at the center of the solenoid.
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A: (1) induced emf
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Q: An MRI solenoid produces a magnetic field of 1.5 T. The solenoid is 2.5 m long, 1.0 m in diameter,…
A: Magnetic field due to solenoid=μ0ni/2(cosβ2-cosβ1)
Q: A 200-turn coil having a length of 5 cm and a diameter of 10 cm carries a current of 3.2 A.…
A: Solution: The magnetic field due to a solenoid along the axis is given by, B=μ0ni2cosθ2-cosθ2
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A: Given data: Number of turns per unit length n=180 turns per meter. Current through the coil I=30…
Q: A solenoid is wound with 1700 turns per meter. When the current is 4.4 A, what is the magnetic field…
A: Given data: Number of turns per meter (n) = 1700 Current (I) = 4.4 A Required: The magnetic field…
Q: A long solenoid with n = 50 turns per centimeter and a radius of R = 5 cm carries a current of i =…
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Q: A solenoid has the following dimensions. inner diameter d = 4.82 cm length L = 40.7 cm When a…
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Q: When the current through a circular loop is 7.5 A, the magnetic field at its center is 1 × 10-4 T.…
A: Given I=7.5A B=1x10-4T
Q: An ideal solenoid 7.20 cm in diameter and 38.0 cm long has N = 4.69e4 turns and carries 12.0 A of…
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A: The magnetic field produced by a solenoid is given as This magnetic field of the solenoid is…
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Q: A circular wire coil consists of 100 turns and is wound tightly around a very long iron cylinder…
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Q: monitor the breathing of a hospital patient, a thin belt is girded around the patient's chest as in…
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Q: To monitor the breathing of a hospital patient, a thin belt is girded around the patient's chest as…
A: GivenNumber of turn in coil, N=195 turnIncrase in coil area, A=45 cm2Magnitude of Earth's magnetic…
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A: The objective of the question is to understand the properties of the solenoid and the magnetic field…
Q: A solenoid is wound with 470 turns on a form 4 cm in diameter and 50 cm long. The current produces a…
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Q: solenoid whose length is L = 50 cm. 3 cm in radius and has 500 turns. This solenoid is flowed by a…
A: The magnetic field inside a solenoid is B=μ0ni Where μ0 = 4πx 10-7 N/A2 n = Turns per Unit length…
Q: A magnetic field of 37.2 T has been achieved at the MIT Francis Bitter Magnet Laboratory. Find the…
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Q: A solenoid has 1000 turns per 10.0 cm, what is the magnetic and direction fields inside the solenoid…
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Q: A stationary square coil of area 0.1 m2 is brought over time of 2 s into the magnetic field 8.9 T…
A: Given Area of the coil is A=0.1 m2 Magnetic field is B=8.9 T Time is given as t=2 s Number of turns…
Q: The figure below shows three edge views of a square loop with sides of length ℓ = 0.495 m in a…
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Q: A stationary square coil of area 0.1 m2 is brought over time of 2 s into the magnetic field 9.1 T…
A: Given Area if coil A = 0.1 m2 Magnetic field B = 9.1 T Angle between area vector and magnetic…
Q: A constant 0.3_T magnetic field passes through a loop at an angle of 35.7° with respect to the…
A: Magnetic field (B) = 0.3T Loop of radius (r) = 20.4mm = 0.0204m Angle is 35.7°
Q: The figure below shows a cube with side length d = 13.8 cm with one of its corners at the origin.…
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Q: length of an ideal solenoid
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- A circular wire loop of wire has radius 2.0 cm and resistance 0.060 Ω . A magnetic field is perpendicular to the loop. How do you determine at what rate must the field change in order to induce a current of 1.5 mA in the loop to two significant figures?When the current through a circular loop is 13 A, the magnetic field at its center is 2.2 x 10-4 T. What is the radius of the loop? Hint Radius of the loop is cm.Q9.3 In the given diagram, a conducting bar lies on two smooth rails that are linked through a 1.50 resistor. A 0.750 T magnetic field is applied in a vertically upward direction, perpendicular to the plane of the rails. The bar is compelled to move at a constant pace of 60.0 cm/s in the direction of the resistor. Assuming that the resistance of the bar and rails is negligible, find out: BOUT 5.0cm a. the direction and value of the induced current. b. The magnitude of the applied force c. the amount of power dissipated in the resistor. →→→→60.0cm/s 1.50 2
- Chapter 30, Problem 067 A solenoid that is 77.1 cm long has a cross-sectional area of 15.7 cm². There are 974 turns of wire carrying a current of 5.98 A. (a) Calculate the energy density of the magnetic field inside the solenoid. (b) Find the total energy in joules stored in the magnetic field there (neglect end effects).A toroid with N turns carries a current I. The toroid is made of a paramagnetic material with susceptibility χ. The magnetic field inside the toroid (a < r < b ) is? a. B=(1−χ)(μ0NI/4πr) b. B=(1+χ)(μ0NI/4πr) c. B=(1+χ)(μ0NI/2πr) d. B=(1−χ)(μ0NI/2πr)A solenoid 2.5 cm in diameter and 30 cm in length has 2400 turns and carries a current of 2.0 A. A)Calculate the magnetic flux through the circular cross-sectional area of the solenoid. Hint: Assume this is a very long solenoid and use the simplified magnetic field formula for an infinite solenoid.
- A solenoid is wound with 670 turns, is 50cm long, and is 4cm in diameter as you look down its axis. The current produces a 4mT magnetic field at the center of the solenoid. The magnetic flux, in Tm2, (or Wb) in the solenoid is:In an electric motor, a coil with 131 turns of radius 2.20 cm can rotate between the poles of a magnet. The magnetic field magnitude is 0.200 T. When the current through the coil is 40.3 mA, what is the maximum torque that the motor can deliver?Asolenoid with 1000 turns has a cross-sectional area of 7.0cm2 and length of 25cm. How much energy is stored in the magnetic field of the solenoid when it carries a current of 10.0A?
- A solenoid of length 2.00 cm and radius 0.750 cm has 49 turns. If the wire of the solenoid has 1.95 amps of current, what is the magnitude of the magnetic field inside the solenoid? magnitude of the magnetic field: T Ignoring the weak magnetic field outside the solenoid, find the magnetic energy density inside the solenoid. magnetic energy density: J/m3 What is the total magnetic energy inside the solenoid? total magnetic energy: JThe superconducting magnet of an MRI scanner requires 810 A of current to create a magnetic field of 4.5 T in the center of its solenoid coil with a 0.65 m radius. If the solenoid is 1.9 m long, how many loops of wire does it have? N =A square loop,10.0cm on a side, is placed aroundthe center of a long solenoid which has 1500 turns of wire per meter. Thediameter of the solenoid is 9.00cm. The square coil has a resistance of 8.00. A cross section of the setup is shown toright. a.Determine the magnitude and the direction of the magnetic field inside the solenoid if it has a current of I=5.00 Amps in the direction shown. b.The initialcurrent through the solenoid is zero, at t =0 the current in the solenoid begins increasing according to the formulaI(t)=C1t2whereC1=5.00Amp/s2. Determine the magnitudeanddirectionof the current in the square coil at a time of .600 seconds.