8. A long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t) = I, sin(ot), where I, and o are constants. The solenoid is surrounded by a wire of resistance R that has two circular loops of radius b with b>a (see the figure). Find the magnitude of current induced in the outer loops at time t= 0.
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- An 820-turn wire coil of resistance 24.0 Ω is placed on top of a12 500-turn, 7.00-cm-long solenoid, as in Figure P20.57. Bothcoil and solenoid have cross-sectional areas of 1.00 x 10-4 m2.(a) How long does it take the solenoid current to reach 0.632times its maximum value? (b) Determine the average back emfcaused by the self-inductance of the solenoid during this interval.The magnetic field produced by the solenoid at the locationof the coil is one-half as strong as the field at the centerof the solenoid. (c) Determine the average rate of change inmagnetic flux through each turn of the coil during the statedinterval. (d) Find the magnitude of the average induced currentin the coil.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.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…A2.10 cm x 2.10 cm square loop of wire with resistance 1.00×10-2 has one edge parallel to a long straight wire. The near edge of the loop is 1.10 cm from the wire. The current in the wire is increasing at the rate of 120 A/s.Two identical conducting bars of length 56.6 cm can be moved across two parallel conducting wires. The bars can be moved either to the left or right with the speeds v₁ and v₂. The top wire has a resistor with a resistance of 3.2 and the bottom wire has an ammeter (a device used to measure the current). The ammeter has neglibible resistance and reports a positive current if the current flows through it to the right. A uniform magnetic field exists everywhere with strength B either pointing into or out of the page. B or O R L V₁ A V2 1) Scenerio 1: The right bar is held at rest and the left bar is moved to the right at a constant speed of v₁ = 4.1 m/s. The magnetic field is into the page with a strength of 6.2 T. What is the EMF induced in the left bar? A positive value means the top of the bar is at a higher potential than the bottom of the bar. V Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this…
- A resistor R is connected between two parallel conducting rails separated by 30 cm, as shown in the diagram. A conducting bar maintains electric contact with the rails as it moves relative to them with constant velocity from x = 20 cm to x = 48 cm in 0.6 seconds. A uniform 0.8 T field points into the page. Calculate the induced electric potential difference between the two ends of the bar.The solenoid shown in the diagram has 5 loops per centimeter and a cross sectional area of 0.3 m². The resistor has the resistance of 2 Ohm. When the switch is closed, the current in the solenoid increases at the rate of 200 A/s. Find the current through the resistor. RAn intrepid physics student transports a loop of wire from their hometown all the way to Earth's north magnetic pole. The loop has a radius ofr = 50 cm and a total resistance 75 m2, and the plane of the loop is held parallel to the ground at all times. In their hometown, Earth's magnetic 35 µT and points slightly into the ground, making an angle of 0 = 15° with a line that points due north. At the north magnetic pole, Earth's magnetic field 60 µT and points directly into the ground. If the student completed this journey over the course 48 hours, then what was the average current induced in the loop? Provide both the magnitude and direction of the current (as viewed from above the loop), and include a sketch of the "initial" and "final" configurations as part of of R field has a magnitude of B; has a magnitude of Bf of t your representation.
- Cross-sectional views of three long conductors carrying currents I = 2.6 A, I2 = 2.2 A, and 13 = 5.6 A are shown in the figure below. Determine the closed line integrals O B• de around the five Ampèrian loops a through e as shown in the figure. (Assume positive current is into the page.) de b d de de de loop a T. m loop b T. m loop c T.m loop d T. m loop e T.mA current I flows around the rectangular loop shown in the accompanying figure. B A D Write expressions for B . dl for the paths A, B , C and D A: B: C: D:Two long straight wires that are oriented perpendicular to the plane of the page are placed parallel to each other, and spaced a distance, d = 70.1 cm, apart. The two wires carry different currents, I₁ = 83.5 A, and 1₂ = 58.5 A, in opposite directions as shown in the figure. A X B X wire 1 d X wire 2