A square single loop of wire 4.00 cm on a side with 875 turns lies in...

A square single loop of wire 4.00 cm on a side with 875 turns lies in the xy-plane. The loop is in a uniform magnetic field that changes at a steady rate from B⃗ =(0.200T)i^+(0.150T)k^B→=(0.200T)i^+(0.150T)k^ at t = 0 to B⃗ =(0.300T)i^+(−0.200T)k^ B→=(0.300T)i^+(−0.200T)k^ at t=3.00s. At the time t=2.00s,

a) find the magnitude of the induced emf in the coil.

b) Find the direction of the induced current in the coil as seen from a point on the +z-axis.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A 10.0-cm side square loop is fashioned from a single 4.00-m long, 100-g wire. One side...

A 10.0-cm side square loop is fashioned from a single 4.00-m long, 100-g wire. One side of the loop is attached to a horizontal, frictionless axle. The loop is suspended in a region with a uniform 10.0-mT magnetic field oriented vertically. (a) What angle does the loop make with the vertical when it carries a current of 3.40 A? (b) What magnetic torque acts on the loop?

A square loop of wire 0.17 m on a side lies on a horizontal table and...

A square loop of wire 0.17 m on a side lies on a horizontal table and carries a counterclockwise current of 4.8 A. The component of Earth’s magnetic field that is in the plane of the loop is 2.4×10−5T and points toward the top of the loop. Consider a horizontal axis of rotation that passes through the center of the loop from left to right. Does the top wire of the loop want to rotate toward you (up from the...

An 80 cm by 80 cm square loop of wire lies in the xy-plane and has...

An 80 cm by 80 cm square loop of wire lies in the xy-plane and has a resistance of 0.2 Ω. It sits in a time-dependent uniform magnetic field of [0.6 sin (3π t)k] T. What is the largest value that the induced current takes on?

A square wire loop of side length a = 2.0 cm and resistance R = 10.0Ω...

A square wire loop of side length a = 2.0 cm and resistance R = 10.0Ω is inside a 1.00m long solenoid with 1000 windings such that the plane of the loop is perpendicular to the solenoid’s magnetic field. The solenoid initially carries a current I = 6.0 A, which is turned down to zero evenly over a period of 12.0 s. If the solenoid’s initial magnetic field is out of the page in the figure, what is the magnitude...

A square coil of thin wire with 4 turns and side-length 3 cm sits inside an...

A square coil of thin wire with 4 turns and side-length 3 cm sits inside an ideal solenoid. The axis of the solenoid is along +k, but the axis of the coil is tilted at a fixed unknown angle θ from the +z-axis. The solenoid has n = 5000 turns/meter, and carries current I(t) = 5t3– 4t2+ t + 5 [units of Amperes with t given in seconds] counterclockwise. The wire of the coil has cross-sectional area A = 50 μm2, and the...

Problem 3. A square loop of wire is made up of 50 turns of wire, 40...

Problem 3. A square loop of wire is made up of 50 turns of wire, 40 cm on each side. The loop is immersed in a 0.4−T magnetic field perpendicular to the plane of the loop. The loop of wire has little resistance but it is connected to two resistors in parallel as shown. When the loop of wire is rotated by 180°, how much charge flows through the circuit? How much charge goes through the smaller resistor? What is...

The rotating loop in an AC generator is a square 10.0 cm on a side. It...

The rotating loop in an AC generator is a square 10.0 cm on a side. It is rotated at 55.0 Hz in a uniform field of 0.800 T. Calculate the following quantities as functions of time t, where t is in seconds. (a) the flux through the loop mT·m2 (b) the emf induced in the loop V (c) the current induced in the loop for a loop resistance of 2.00 Ω A (d) the power delivered to the loop W...

A square loop of wired with side length 2 cm is in the plane of the...

A square loop of wired with side length 2 cm is in the plane of the page. At time t= 0, a 9 T magnetic field is directed into the page. The field changes to 4 T directed into the page in 0.25 seconds. What is the magnetic flux through the loop of wire at time, t = 0? What is the magnetic flux through the loop of wire 0.25 seconds later?What is the emf induced in the loop of...

A square current loop 5.5 cm on each side carries a 470 mA current. The loop...

A square current loop 5.5 cm on each side carries a 470 mA current. The loop is in a 0.70 T uniform magnetic field. The axis of the loop, perpendicular to the plane of the loop, is 30 degrees away from the field direction. What is the magnitude of the torque on the current loop? 2 sig fig.

A square coil of wire of side 3.00 cm is placed in a uniform magnetic field...

A square coil of wire of side 3.00 cm is placed in a uniform magnetic field of magnitude 1.75 T directed into the page as in the figure shown below. The coil has 38.0 turns and a resistance of 0.780 Ω. If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following. (a) the magnitude of the average emf induced in the coil during this rotation (b) the average current...

Subjects