CALC A very long, straight solenoid with a cross-sectional area of 2.00 cm2 is wound with 90.0 turns of wire per centimeter. Starting at t = 0, the current in the solenoid is increasing according to i(t) = (0.160 A/s2)t2. A secondary winding of 5 turns encircles the solenoid at its ccnter, 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 3.20 A?
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- Review. Figure P31.31 shows a bar of mass m = 0.200 kg that can slide without friction on a pair of rails separated by a distance = 1.20 m and located on an inclined plane that makes an angle = 25.0 with respect to the ground. The resistance of the resistor is R = 1.00 and a uniform magnetic field of magnitude B = 0.500 T is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails?arrow_forward(a) If the emf of a coil rotating in a magnetic field is zero at t = 0, and increases to its first peak at t = 0.100 ms, what is the angular velocity of the coil? (b) At what time will its next maximum occur? (c) What is the period of the output? (d) When is the output first one-fourth at its maximum? (e) When is it next one-fourth at its maximum?arrow_forwardThe figure below shows an end view of a single-turn square loop of metal wire in the center of and coaxial with a very long solenoid with a circular cross section. The solenoid is 21.0 cm long, has a radius r = 3.00 cm, and consists of 102 turns of wire. The length of each side of the square loop is € = 1.50 cm. Ⓡ (a) The current in the solenoid is 2.00 A. What is the magnetic flux through the square loop (in T. m²)? T.m² (b) The current decreases from 2.00 A to zero in 4.00 s. What is the magnitude of the average induced emf in the square loop (in V) over this time?arrow_forward
- The figure shows an end view of a single-turn square loop of metal wire in the center of and coaxial with a very long solenoid with a circular cross section. The solenoid is 15.0 cm long, has a radius r = 3.00 cm, and consists of 120 turns of wire. The length of each side of the square loop is / = 1.50 cm. The current in the solenoid decreases from 4.00 A to zero in 0.40 s. What is the magnitude of the average induced emf (in uv) in the square loop over this time? noliill O a. 2.3 كلية العلوo O b. 4.5 O.6.3 O d. 1.5 O e. 3.0 Scanned with CamScannerarrow_forwardA long solenoid of radius r = 1.60 cm is wound with 4.00 ✕ 103 turns/m and carries a current that changes at the rate of 23.5 A/s as in the following figure. What is the magnitude of the emf induced in the square conducting loop surrounding the center of the solenoid?mV An illustration of a solenoid of radius r, which is a horizontal cylinder with a wire wound around its length into a coil. If viewed from the left end of the cylinder, the current I flows clockwise through the coil. A square loop of wire is positioned around the center of the cylinder, where the plane of the square is perpendicular to the length of the cylinder.arrow_forward3. A solenoid has radius 5.80 mm, length 11.0 cm, 5000 turns, and is placed with its axis of symmetryalong the x-axis, through the origin. A vector normal to the opening of the solenoid points to the right.We measure the resistance of the solenoid to be 14.0 Ω. The solenoid is in a region where thetemperature is 49.0°C and initially, there is an external magnetic field of 0.30 T in the +x direction.Then the magnetic field is turned off and drops to 0 T over 50.0 milliseconds.a. What is the magnitude of the average induced emf during the 50.0 milliseconds while the magneticfield magnitude decreases to 0?________________________b. What is the direction of the induced current, as viewed from the right? Answer clockwise,counterclockwise, or zero and show work or explain in words.________________________c. What is the magnitude of the induced current? ________________________d. What is the magnitude and direction of the induced magnetic field?arrow_forward
- A permanent magnet is moved toward a 320 turn solenoid such that the magnetic field inside the solenoid increases from zero to 0.50 T in 0.75 s. The radius of the solenoid is 5 cm. The ends of the solenoid are connected in series with a light bulb. What emf (in V) is induced during this time interval? Sarrow_forwardThe figure below shows an end view of a single-turn square loop of metal wire in the center of and coaxial with a very long solenoid with a circular cross section. The solenoid is 23.0 cm long, has a radius r = 3.00 cm, and consists of 122 turns of wire. The length of each side of the square loop is l = 1.50 cm. e (a) The current in the solenoid is 4.00 A. What is the magnetic flux through the square loop (in T. m²)? T.m² (b) The current decreases from 4.00 A to zero in 2.00 s. What is the magnitude of the average induced emf in the square loop (in V) over this time? Varrow_forwardA very long, straight solenoid with a cross-sectional area of 2.21 cm is wound with 87.8 turns of wire per centimeter Starting at t=0, the current in the solenoid is increasing according to i(t)-(0.171 A/s) A secondary winding of 50 turns 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. 20 - Value Submit μÁ Provide Feedback Bequest Answer Units ?arrow_forward
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