The current in a long solenoid of radius 2 cm and 19 turns/cm is varied with time at a rate of 5 A/s. A circular loop of wire of radius 4 cm and resistance 8 0 surrounds the solenoid. Find the electrical current induced in the loop (in µA).
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- Suppose a uniform magnetic field is perpendicular to the 8(1/2) ✕ 11-in. page of your homework and a rectangular metal loop lies on the page. The loop's sides line up with the edges of the page. The magnetic field is changing with time as described by B = 9.57 ✕ 10−3 t, where B is in teslas and t is in seconds. Find the magnitude of the emf induced in the loop.Part (a) What is the magnitude, in amperes, of the current induced in the loop at t = 1.0 ms? I1 = ______ A Part (b) What is the magnitude, in amperes, of the current induced in the loop at t = 20.0 ms? I2 = ______ APlease help, I don't know where I'm wrong with my work. Final answer must be in μV.
- 3. 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?The 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…In Figure (a), a circular loop of wire is concentric with a solenoid and lies in a plane perpendicular to the solenoid's central axis.The loop has radius 6.14 cm. The solenoid has radius 2.20 cm, consists of 8180 turns/m, and has a current isol varying with time t as given in Figure (b), where the vertical axis scale is set by is = 1.28 A and the horizontal axis scale is set by ts = 3.7 s. Figure (c) shows, as a function of time, the energy Eth that is transferred to thermal energy of the loop; the vertical axis scale is set by Es = 101.6 nJ. What is the loop's resistance?
- A long, straight wire (blue in the diagram) carries a current (moving toward the right) of i(t) = [(5.0A)− (2.0 A/s^2)t^2]. A circular loop (red) of radius 1.5 m and resistance 1.8 Ω is centered on and lying directly on top of the blue wire (but, since the wires are insulated, there is no electrical contact between them). What is the magnitude of the current induced in the red loop at time t = 1 s?A segment of wire 7.5 cm long is moving at a velocity of 3.26 m/s toward a parallel (much longer) wire which carries a current of 3.46 A. At a particular instant the wire segment is 7.4 cm away from the long, current-carrying wire. What is the induced emf (voltage) between the two ends of the wire segment?In the figure a 130-turn coil of radius 5.00 cm and resistance 5.00 Ω is placed around a smaller diameter solenoid (d = 3.20 cm). The long solenoid in the figure has 240 turns per centimeter and carries a current of 1.30 A. The current in the solenoid is reduced to zero and then increased to -1.30 A in a time of 4.00×10-2 s. What is the magnitude of the induced current in the outer coil while the solenoid current is being changed?
- In the figure a 120-turn coil of radius 5.00 cm and resistance 2.00 Ω is placed around a smaller diameter solenoid (d = 3.20 cm). The long solenoid in the figure has 210 turns per centimeter and carries a current of 1.50 A.The current in the solenoid is reduced to zero and then increased to -1.50 A in a time of 3.00×10-2 s. What is the magnitude of the induced current in the outer coil while the solenoid current is being changed?A 3.0-cm-diameter, 18-turn coil of wire, located at z = 0 in the xy-plane, carries a current of 2.5 A. A 2.0-mm-diameter conducting loop with 2.0 x 10-4 resistance is also in the xy-plane at the center of the coil. At t = 0 s, the loop begins to move along the z-axis with a constant speed of 75 m/s. Part A What is the induced current in the conducting loop at t = 200 us? The diameter of the conducting loop is much smaller than that of the coil, so you can assume that the magnetic field through the loop is everywhere the on-axis field of the coil. Express your answer with the appropriate units. I = μà Value Units ?A conducting ring of electrical resistance R = 4.0 [2] and radius r = 2.0 [m] is inside an external magnetic field B=6t (T), where t is measured in seconds and whose direction is towards the inside of the page as shown in the figure. What is the magnitude of the induced current for t>0? Express your answer in Amperes and with 2 decimal places of precision. X X X X X X X X X ххххх X X ring