College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- A solenoid of 400 turns and length 6 cm, and radius 2 cm is surrounded by a single coaxial loop of radius 4 cm, which has a resistance 2. The current flows in a clockwise direction, looking toward the solenoid from left. The current in the solenoid starts from zero and increases uniformly at the rate of 1 amperes per second, until it reaches a current of 10 amperes which remains steady thereafter (Use expressions for very long solenoid). a. What is the rate of change of magnetic field within the solenoid during the current change in this problem. b. What is the rate of change of magnetic flux within the solenoid during this change. c. Using Faraday’s law (or Lenz’s law), find the magnitude and direction of current generated in the outer loop. d. What is the magnetic flux through the single coil when a steady current 10A flows through the solenoid.arrow_forwardA very long, straight solenoid with a cross-sectional area of 1.93 cm? is wound with 85.5 turns of wire per centimeter. Starting at t = 0, the current in the solenoid is increasing according to i (t) = (0.180 A/s²)t2. A secondary winding of 5.0 turms encircles the solenoid at its center, such that the secondary winding has the same cross- sectional area as the solenoid. Part A What is the magnitude of the emf induced in the secondary winding at the instant that the current in the solenoid is 3.2 A? Express your answer with the appropriate units. HA ? |E| = Value Units Submit Request Answerarrow_forwardA square coil of wire, with side l = 5.00 cm and total resistance of 100Ω, contains 100 turns and is placed perpendicular to a uniform magnetic field of 1.20 T, as shown in the figure. It is quickly pulled out of the field with constant speed (moving perpendicular to B) into a region where B drops abruptly to zero. At t = 0, the right edge of the coil is at the edge of the field. For the entire coil to reach the free field region, 0.100 s elapse. Find a) the rate of change in flux through the coil, b) the induced emf, and c) the induced current.arrow_forward
- A very long, straight solenoid with a cross-sectional area of 2.02 cm² is wound with 95.0 turns of wire per centimeter. Starting at t = 0, the current in the solenoid is increasing according to i (t) = (0.170 A/s²)t². A secondary winding of 5.0 turns encircles the solenoid at its center, such that the secondary winding has the same cross-sectional area as the solenoid. What is the magnitude of the emf induced in the secondary winding at the instant that the current in the solenoid is 3.2 A? Express your answer with the appropriate units. |E| = Submit μÀ Value n Request Answer Units ?arrow_forwardConsider a thin rod of resistance R = 12.0 Ohm, mass m = 60.0 g and length L = 20.0 cm. It is free to slide without friction on a vertical U-shaped wire. There is a uniform magnetic field of magnitude B = 1.20 T directed into the page, and the rod is stationary at t = 0 s.arrow_forwardA conducting loop is made in the form of two squares of sides s1 = 2.5cm and s2 = 5.1 cm as shown. At time t = 0, the loop enters a region of length L = 15.1 cm that contains a uniform magnetic field B = 1.5 T, directed in the positive z- direction. The loop continues through the region with constant speed v = 40 cm/s. The resistance of the loop is R = 2.6 Q. %3D L 1) At time t = t1 = 0.021 s, what is l1, the induced current in the loop? I1 is defined to be positive if it is in the counterclockwise direction. %3D A Submit 2) At time t = t2 = 0.482 s, what is l2, the induced current in the loop? I2 is defined to be positive if it is in the counterclockwise direction. %3D A Submit 3) What is Fx(t2), the x-component of the force that must be applied to the loop to maintain its constant velocity v = 40 cm/s at t = t2 = 0.482 s? %3D N Submit 4) At time t = t3 = 0.398 s, what is l3, the induced current in the loop? 13 is defined to be positive if it is in the counterclockwise direction. %3D…arrow_forward
- A rectangular coil with 6000 turns that has a resistance of 1.5Ω is coplanar with a long wire which carries a current which depends on time according to I0*e(−t / tau), where I0=5 A and tau=4.4 s. The rectangular loop has a width of W=2 cm and length L=7 cm. The near side of the loop is a distance D=7.7 cm from the wire. A) What is the magnetic flux in ONE turn of the coil at t=3.6 s? for my answer I got 1.62E-9 Wb which was wrong. B) What is the emf in the entire coil at t=3.6 s? For the purposes of entering a sign, let the positive direction for the emf in the loop be in the clockwise direction. for my anwer I got 9.7E-9 V/m which was wrong. C) What is the power dissipated in the entire coil at t=3.6 s? for my anser I got 21.4E-9 W which was wrong D) What is the total energy dissipated in the entire coil from t=0 to t=3.6 s? for my answer I got 6.7E-9 J which was wrong.arrow_forwardA long straight wire carrying a current of 2.54 A moves with a constant speed v to the right. A 5 turn circular coil of diameter 12.5 cm, and resistance of 3.25 μ, lies stationary in the same plane as the straight wire. At some initial time the wire is to the left of the coil at a distance d 3.00 cm from its center. 8.00 s later, the wire has moved to the right of the coil and is at a distance d from the center of the coil. What is the magnitude and direction of the induced current in the coil? x magnitude direction 0.7988 What is the change in magnetic flux inside the coil due to the straight wire? How does Faraday's law relate this change. in flux to the induced emf? mA clockwise d d Initial situation initial situation Final situation final situation Barrow_forwardThe following picture shows a LONG conductor carrying current I. Nearby there is a conducting rectangular loop with sides a = 8 cm and b = 4 cm. The loop also carries a resistance R = 10 ohms. The current is constant and has a value of I = 6.0 Amperes. The loop is moving away to the right with a constant velocity, V = 2 m/s. Answer the following questions at the instant of time t when the left edge of the loop is at position "x" as shown below Use the coordinate system , x to the right, y into the board, z upward a) Write an expression for the magnetic field the distance "x" (from the LONG conductor to the loop. ) USE “+" for CCW circulation and "-" for CW circulation. a function of b) Write the magnetic field in "i-j-k" format at point "x" to the right of the current carrying wire in the "i-z" plane R. a c) Write the infinitesimal area vector for the loop in "i-j-k" format d) Write the explicit integral for the magnetic flux through the area of the loop using the answer for B and dA…arrow_forward
- A square coil of wire of side 2.95 cm is placed in a uniform magnetic field of magnitude 2.50 T directed into the page as in the figure shown below. The coil has 38.0 turns and a resistance of 0.780 S If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following. Rotation axis x x x x x x x x x x (a) the magnitude of the average emf induced in the coil during this rotation mV (b) the average current induced in the coil during this rotation MAarrow_forwardA conducting rod of length = 7 [cm] is free to slide on two parallel conducting bars as shown in the figure. A resistor R = 9 [2] is connected across the ends of the bar to form a loop. The rod and the bars are located in a region that has a magnetic field of magnitude B = 0.35 [T] directed into the page. An external agent pulls the rod to the right with a constant speed v= 3 [m/s]. e R 1. the loop is 2. is: I = 3. dx=vdt Bin XDin X X X X The magnetic flux throughout The value of the induced current [A] The induced current in the loop 4. The magnitude of the applied force that is needed to move the rod with this constant speed is: F = [N].arrow_forwardA solenoid is producing a magnetic field of B = 2.5 x 10-3 T. It has N = 1100 turns uniformly over a length of d = 0.15 m. Express the current I in terms of B, N and d.arrow_forward
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