Compute the induced EMF in the small circular loop of wire centered at x=x0 and y=y0 on x-y plane resulting from the time varying magnetic diplole directed into the direction of z located on z axis at z=z0. The dipole moment of m of magnetic dipole is m = m, cos(ot) . The radius of small circular loop of wire is r1.(r1<
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- Chapter 30, Problem 023SN The figure shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x>>R. Consequently, the magnetic field due to the counterclockwise current / in the larger loop is nearly constant throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = v. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. In the smaller loop, find (b) an expression for the magnitude of the induced emf and (c) the direction of the induced current. R. (a) ? ENI (ь) 2 Edit (c)Q.A) A constantan wire of length 12 m and having a cross sectional area 1.4x10-4 m2 is converted into 3-turn circular loop. It is connected to a voltage of 0.160 V. If the loop is placed in a uniform magnetic field of magnitude 0.66 T at an angle of 64˚, then calculate torque in the circular loop? (The resistivity (ρ) of constantan= 49 x10 -8 Ω.m.)The figure below shows three edge views of a square loop with sides of length ℓ = 0.240 m in a magnetic field of magnitude 1.25 T. Calculate the magnetic flux (in Wb) through the loop oriented perpendicular to the magnetic field, 60.0° from the magnetic field, and parallel to the magnetic field. (a) perpendicular to the magnetic field The SI unit of magnetic flux is the weber (Wb), given by 1 Wb = 1 T · m2. Wb (b) 60.0° from the magnetic field Wb (c) parallel to the magnetic field would like an explanation to go with problems, please.
- The conducting loop of the shape shown in the figure is being pulled out of a constantBext magnetic field at a constant speed v. The left part of the loop KN is a semicircle ofradius a. The top and the bottom parts of the loop are equal, KL=NM=b. Theresistance per unit length of the conductor is r (Ω/m). During the time intervalbetween when line LM and then KN are at the border of the magnetic field,a) What is the direction ofthe induced current? Explainyour choice of direction.b) What is the EMFproduced in the loop?c) What is the size of theinduced current?The current in a long solenoid of radius 6 cm and 22 turns/cm is varied with time at a rate of 3 A/s. A circular loop of wire of radius 8 cm and resistance 7 0 surrounds the solenoid. Find the electrical current induced in the loop (in HA). HAA circular conducting loop with a radius of 1.00 m and a small gap filled with a 10.0 resistor is oriented in the xy-pane. If a magnetic field of 2.0 T, making an angle of 30° with the z-axis increases to 9.0 T, in 2.0 s, what is the magnitude of the current that will be caused to flow in the conductor?
- (L11) A thin 0.120 m copper rod on the x-y plane and parallel to the x axis moves with a constant velocity of 4.17 m/s in the +y direction as shown in the figure. There is a uniform magnetic field 5.84E-2 T everywhere in space pointing in the -z direction (into the page). The electric potential is measured to be Va at point a and V₁ at point b. What is the potential difference Va-V₁ (write down the sign and magnitude)? +y Va ZO Vb +xThe magnetic field in a region of space is given by B-8 +8. A coil of N turns is oriented so that its cross-sectional area is in the x direction: A-A1. A small bulb is connected across the ends of the coil. The total resistance of the coil and the bulb is R. Find an expression for the current through the bulb if By(t) = Bo(t/to) and By-Bo where Bo and to are constants. (Use the following as necessary: A, B, N, R, to, and t. Enter the magnitude.)A circular coil of wire has radius 0.37 m, with 979 turns of wire in the coil. It is located in a magnetic field of 1.90 T, directed perpendicular to the plane of the loop. (a) What is the magnetic flux through the loop (in T m²)? (b) Now suppose the coil is attached to a 160 ohm resistor, and the magnetic field decreases to 0 in 1 second. What is the induced current in the circuit?