A coil with a radius of 4.00 cm contains 500 turns, and is placed in a magnetic field uniform that varies with time according to B = (0.0120T / s) t + (3.00x10-5T / s4) t 4. The coil is connected to a 600 ohms resistance, and its plane is perpendicular to the magnetic field. Can be ignored coil resistance. (a) Find the magnitude of the induced emf in the coil as a function of time. (b) What is the current in the resistance at time t = 5.00s? Clearly explain your answers.

Q: A 16 turn conductive loop with an enclosed are of 0.44 m? exists in the plane of the page. A uniform…

A: Number of turn N = 16 Area of loop = 0.44m2 value of B(t) = 3t2e-0.4t resistance of loop = 2.5ohm

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Q: An electric generator uses a 560-turn coil with a diameter of 4 cm that is rotating in a 0.25-T…

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Q: A prototype of an MRI consists of a set of 400 coils each having a radius of 0.30 m. To test its…

A: V=∆ϕ∆t=NBA∆t=NBπR2∆t=4001.2 T3.140.30 m23.6 s=37.7 V

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A: Given that,Number of turns (N) = 30Diameter ofcoil (D) = 0.14 (m)Magnitude of magnetic field (B) =…

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Q: How to determine the magnitude of the time changing magnetic flux thru the loop, if the EMF is…

A: It is given that

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Q: A coil with 50 turns and area 10cm² is oriented with its plane perpendicular to a 0.75-T magnetic…

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Q: A 48 turn conductive loop encloses an area of 71 m 2 At what constant rate should the magnetic field…

A: Given, Number of turns N = 48  Area A = 71m2 emf ε=3.58 Volts   We know the expression for induced…

Q: The coil in an electromagnet has an inductance of 1.7 mH and carries a constant direct current of…

A: Given that,Inductance, L=1.7 mH=1.7×10-3HDirect current, I=5.6 AInduced emf, ε=7.3 V

Q: For a toroidal solenoid, suppose the number of turns is 291, the area is 4.89 cm 2, and the radius…

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Q: A square loop of side 10cm and resistance 0.5N is placed vertically in the east-west plane. A…

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Q: The magnetic flux through each turn of a 210-turn coil is given by B = 9.25 x 10-³ sin(at), where is…

A: Given: The number of turns is 210. The magnetic flux is. ϕB=9.25×10-3sinωt…

Q: A circular loop of wire is placed in a uniform magnetic field pointing directly into the page, as…

A: r=1 mR=10ΩA=πr2=π m2∆B=2-0=2 T∆t=5 s

Q: A conducting bar moves in a constant magnetic field ? = 3 T az. The length of the bar L = 1m.…

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Q: An MRI technician moves his hand from a region of very low magnetic field strength into an MRI…

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Q: A ten-loop coil having a radius of 5.87 cm and a resistance of 48.9 Ω is in a 0.083 T uniform…

A: The expression for the induced emf is given by -  ε=N∆ϕB∆t .....(1) Where,…

Q: A metal rod 0.95 m long moves with a speed of 2.4 m>s perpendicular to a magnetic field. If the…

A: The expression for find strength of magnetic field is ε=BlvB=εlv

Q: A coil is constructed from 6.4 m wire wound into circles with a radius of 3.2cm. Find the maximum…

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Q: An MRI technician moves his hand from a region of very low magnetic field strength into an MRI…

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Q: A square loop of wire 75.0 mm on a side lies with its plane perpendicular to a uniform magnetic…

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Q: A circular wire coil with 28 turns and radius 3.92 cm is placed in a uniform magnetic field of…

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Q: A 230-turn coil lies in the plane of the page in a uniform magnetic field of strength 4.80 T. The…

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Q: The magnetic field between the poles of the electromagnet is uniform at any time, but its magnitude…

A: Solution:-

Q: An emf is induced by rotating a 1000 turn, 19 cm diameter coil in the Earth’s 5.00 × 10-5 T magnetic…

A: Number of turns , N = 1000 Diameter , d = 19 cm = 0.19 m Radius , R = 0.095 m Magnetic field , B = 5…

Q: An MRI technician moves her hand from a region of very low magnetic field strength (B=0) into an MRI…

A: Given data- magnetic field B=1.55 T diameter D=2.55 cm so radius r=1.275 cm =1.275*10-2 m time…

Q: A coil consists of 25 loops of wire and has a diameter of 10 cm. Its resistance is 0.1Ω. At t=0 it…

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Q: A 230-turn coil lies in the plane of the page in a uniform magnetic field of strength 4.80 T. The…

A: Given that,Number of turns : N = 230 turns Magnetic field : B = 4.80 T              Area : A = 0.125…

Q: A 520-turn coil with an area of 0.305 square meters is spun in the Earth's 5.00 x 10-5 tesla…

A: The objective of the question is to find the frequency at which the coil must be spun to produce a…

Q: Calculate the induced emf if the overall change of magnetic flux in a coil with 17 turns is 4.5 x…

A: When the magnetic flux changes with time, then it causes to induce an emf in a loop. Given(s):…

Q: A magnetic field of 0.21 T exists in the region enclosed by a solenoid that has 239 turns and a…

A:

Q: An MRI technician moves his hand from a region of very low magnetic field strength into an MRI…

A: Initial magnetic field is B1=0 Final magnetic field is B2=2.00 T Diameter of the ring is d=2.03…

Q: A conducting copper coil flat in the xy-plane has 50 turns and a cross-sectional area of 0.070 m² so…

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Q: A 500 turn coil with a 0.250 m² area is spun in the Earth's 5.00 × 10 T magnetic field, producing a…

A: Given Number of turn = N = 500  Area A = 0.25 m2  Magnetic field B = 5 × 10-5 T  Maximum emf = 12 kV…