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A small, rectangular single loop of wire with dimensions l, and a is placed, as shown below, in the plane of a much larger, rectangular single loop of wire. The two short sides of the larger loop are so far from the smaller loop that their magnetic fields over the smaller fields over the smaller loop can be ignored. What is the mutual inductance of the two loops?
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- A toroidal solenoid with a rectangular cross-section is wound uniformly with 480 turns. The inner radius is a=5 cm, the outer radius is b=7.5 cm, and it has a thickness of t=1 cm. What is the self-inductance of this device?A long solenoid with a circular cross section of radius R had n turns per length and sits with a vertical central axis. Sitting entirely inside this is an axa horizontal flat square coil with N turns. What is the mutual inductance between these two coils?Just as every circuit has a small amount of extra resistance in the wires, which we usually neglect, every circuit also has a small amount of stray capacitance and self-inductance because of the geometry of the wires. Consider a pacemaker implant in which the leads travel close together from the device to the heart, then separate and connect to the top and bottom of the heart. The circuit completes through the middle of the heart, so take the area of the current loop to be half the cross-sectional area of the heart. The current loop is approximately a circle of radius 4.0 cm. Approximate the magnetic field as constant inside the loop and equal to the value at the center of the loop. Use this field to get the magnetic flux through the loop and hence estimate the stray self-inductance L of the loop. L% = x10 H.
- An inductor is shown in the figure. The right side is at higher potential, as shown by the + symbol in the figure. What is the direction of the current flow if the current is decreasing with time? + In on the left, out on the right. In on the right, out on the left. It is impossible to know. This is an impossible situation, no emf would be induced across the inductor, regardless of the direction of the current flow.In the figure below the switch S is closed, Supppose the emf of the ideal battery is 12.0 V, the inductance of the ideal inductor L = 30.0 mH, and the resistance R2 = 4.34 ohms and the resistance R2 = 2.17 ohms. When i = 0.17 A 1. how much energy is delivered by the battery? 2. how much of this energy is stored in the magnetic field of the inductor? 3. how much of this energy is dissipated by both resistors? 4. what is the rate dibat/dt at t = 0, t = 0.82 s and t after a long time?Coil A is a large 1000 turn circular coil of radius 68.0 cm. Circular coil B has 200 turns, a radius of 3.0 cm and is located L = 56.0 cm from coil A along the same axis. The planes of the two coils are parallel. Find approximately the mutual inductance of this pair of coils. *Note* As coil A is much larger than coil B, the B field due to A in the region of B is fairly constant. Use this approximation and proceed.
- The switch S in the circuit has just been closed. Right after (at t= 0) the current shown is measured to be / = 6 A. Determine the induced voltage Vbs = V- Va in the inductor (in Volts) at !! this moment. S. 50 0 200 V 500 15 mH ww -ww0000Just after the switch is closed, what is the magnitude of the potential difference vabvab across the resistor R1? What is the magnitude of the potential difference vcdvcd across the inductor L? The switch is left closed a long time and then opened. Just after the switch is opened, what is the magnitude of the potential difference vabvab across the resistor R1? What is the magnitude of the potential difference vcdvcd across the inductor L?1. A coaxial cable is made of a metal wire of radius a surrounded by a thin metal tube of radius b. The space between the conductors is evacuated. a) Find the capacitance per unit length of this coaxial cable (Hint: Imagine equal but opposite charges to be on the wire and the tube), b) Find the inductance per unit length of this coaxial cable (Hint: Imagine a current i flowing down the center wire and back along the tube.)
- As shown below, a wire loop with a radius of 0.84 m is immersed in a B-field (the direction of the field is shown in the diagram). The B-field decreases from 10 T to 6 T and as a result a 8 V voltage & a 8.1 A current are induced. Determine how long the B-field was changing & the loop's resistance. At = the loop's resistance = ΩCoil A is a large 300 turn circular coil of radius 77 cm. Circular coil B has 390 turns, a radius of 5 cm and is located L=99 cm from coil A along the same axis. The planes of the two coils are parallel. A) Find the approximate mutual inductance of this pair of coils. for my answer I got 3.527E-10 H which was wrong B) If the current in coil A varies with time according to I=3t3−8t2−1, where I is in amps and t is in s, find the magnitude of the EMF induced in coil B at time t=2 s.