An infinite straight wire carries current l1 =4.3 A in the positive y-direction as shown.At time t = 0, a conducting wire, alignedwith the y-direction is located a distance d= 41 cm from the y-axis and moves withvelocity v = 14 cm/s in the negaitve x-direction as shown. The wire has length W= 15 cm.1) What is ɛ(0), the emf induced in the moving wire at t = 0? Define theemf to be positive if the potential at point a is higher than that at point b.4.4*10^(-8)V Submit2) What is ɛ(t1), the emf induced in the moving wire at t = t1 = 2 s? Definethe emf to be positive if the potential at point a is higher than that atpoint b.1.39*10(-7)Submit3) The wire is now replaced by a conductingrectangular loop as shown. The loop haslength L = 56 cm and width W = 15 cm. AtI,time t = 0, the loop moves with velocity v =14 cm/s with its left end located a distanced = 41 cm from the y-axis. The resistanceof the loop is R = 1.7 0. What is i(0), theinduced current in the loop at time t = 0?Define the current to be positive if it flowsin the counter-clockwise direction.d-1.50*10^(-8)Submit4) Suppose the loop now moves in thepositive y-direction as shown. What is thedirection of the induced current now?IO The current flows counterclockwiseO The current flows clockwiseO There is no induced current nowSubmitSuppose now that the loop is rotated 90°and moves with velocity v = 14 cm/s in thepositive x-direction as shown. What is l2,Lthe current in the infinite wire, if theinduced current in the loop at the instantshown (d = 41 cm) is the same as it was indthe third part of this problem (i.e., when theleft end of loop was at a distance d = 41cm from the y-axis)?A Submit

As per guidelines we are suppose to do only three subpart from multipart questions, and one from…

An infinite straight wire carries current I1 = 4.3 A in the positive y-direction as shown. At time t = 0, a conducting wire, aligned with the y-direction is located a distance d = 41 cm from the y-axis and moves with velocity v = 14 cm/s in the negaitve x- direction as shown. The wire has length W = 15 cm. 1" What is e(0), the emf induced in the moving wire at t = 0? Define the emf to be positive if the potential at point a is higher than that at point b. 4.4*10^(-8) V Submit

An infinite straight wire carries current I1 = 4.3 A in the positive y-direction as shown. At time t = 0, a conducting wire, aligned with the y-direction is located a distance d = 41 cm from the y-axis and moves with velocity v = 14 cm/s in the negaitve x- direction as shown. The wire has length W = 15 cm. 1" What is e(0), the emf induced in the moving wire at t = 0? Define the emf to be positive if the potential at point a is higher than that at point b. 4.4*10^(-8) V Submit

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter32: Faraday’s Law Of Induction

Section: Chapter Questions

Problem 75PQ: A rectangular conducting loop with dimensions w = 32.0 cm and h = 78.0 cm is placed a distance a =...

See similar textbooks

Similar questions

The magnetic flux through a metal ring varies with time t according to (B = at3 bt2, where (B is in webers, a = 6.00 s3, b = 18.0 s2, and t is in seconds. The resistance of the ring is 3.00 . For the interval from t = 0 to t = 2.00 s, determine the maximum current induced in the ring.
A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is the resulting induced current if the loop has a resistance of 2.00 ?
The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible, but the section PQ has a resistance of 0.25 . (a) What is the emf (including its sense) induced in the rod when it is moving to tire right with a speed of 5.0 m/s? (b) What force is required to keep the rod moving at this speed? (c) What is the rate at which work is done by this force? (d) What is the power dissipated in the resistor?
A long solenoid of radius a with n turns per unit length is carrying a tune-dependent current I(t)=I0sintwhere I0 and are constants. The solenoid is surrounded by a wire of resistance R that has two circular loops of radius b with b>a. Find the magnitude and direction of current induced m the outer loops at tune t=0.
A square loop with side length L, mass M, and resistance R lies in the xy plane. A magnetic field B = B0(y/L) k is present in the region of the space near the loop. Determine the magnitude and direction of the induced current in the loop as the loop starts moving at velocity v = B0(y/L) j.
A rectangular conducting loop with dimensions w = 32.0 cm and h = 78.0 cm is placed a distance a = 5.00 cm from a long, straight wire carrying current I = 7.00 A in the downward direction (Fig. P32.75). a. What is the magnitude of the magnetic flux through the loop? b. If the current in the wire is increased linearly from 7.00 A to 15.0 A in 0.230 s, what is the magnitude of the induced emf in the loop? c. What is the direction of the current that is induced in the loop during this time interval?
A flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?
A thin copper rod of length L rotates with constant angular velocity about a point O, in a plane perpendicular to a uniform magnetic field B as shown in Figure P32.20. Determine the induced emf across its ends. Consider that the emf produced between the point O and a small segment of the rod, d, is given by d=Bvd.
A time-dependent uniform magnetic field of magnitude B(t) is confined in a cylindrical region of radius R. A conducting rod of length 2D is placed in the region, as shown below. Show that the emf between the ends of the rod is given by dBdtDR2D2 . ( Hint: To find the between the ends, we need to integrate the electric field from one end to the other. To find the electric field, use Faraday’s law as “Ampere’s law for E”.)
Two long, parallel wires cy equal currents in opposite directions. The radius of each wire is a, and the distance between the centers of the wires is d, Show that if the magnetic flux within the wires themselves can be ignored, the self-inductance of a length 1 of such a pair of wires is L 0 l in d1 a (Hint Calculate the magnetic flux through a rectangle of length 1 between the wires and then use L=N/I
When a magnetic field is first turned on, the flux through a 20-turn loop varies with time according to Φm = 5.0t2 − 2.0t, where Φm is in milliwebers, t is in seconds, and the loop is in the plane of the page with the unit normal pointing outward. (a) What is the emf induced in the loop as a function of time? What is the direction of the induced current at (b) t = 0, (c) 0.10, (d) 1.0, and (e) 2.0 s?
Consider a solenoid 50 cm long, with a radius of 2 cm, on which I've wound 2,000 loops of wire. An alternating current (60 Hz) flows through it with an amplitude of 1 Amp. A loop of 1.5 cm radius is inside the solenoid and perpendicular to B.a- What is the amplitude of the EMF induced in the loop?b- What is the amplitude of the electric field induced at a distance of 1 cm from the solenoid axis? At a distance of 5 cm from the solenoid axis? c- What is the inductance of the solenoid?