You are to make a resistor by winding a wire around a cylindrical form. To make the inductance as small as possible, it is proposed that you wind half the wire in one direction and the other half in the opposite direction. Would this achieve the desired result? Why or why not?
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You are to make a resistor by winding a wire around a cylindrical form. To make the inductance as small as possible, it is proposed that you wind half the wire in one direction and the other half in the opposite direction. Would this achieve the desired result? Why or why not?

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- A 12.0-V battery is connected into a series circuit containing a 20.0-2 resistor and a 1.70-H inductor. (a) In what time interval will the current reach 50.0% of its final value? S (b) In what time interval will the current reach 90.0% of its final value? S0:00 PM (11%) Problem 6: A 1.55 H inductor in an RL circuit (with resistance 1.95 Q) is initially carrying a current of 5.15 A. A switch is then thrown (between positions 1 and 2, see figure), which causes the inductor to begin losing energy. Randomized Variables I = 5.15 A L= 1.55 H R= 1.95 2 Otheex D A 33% Part (a) What is the initial energy in the inductor in J? Eind Grade SL Deduction Potential sin) cos() tan() 7. 8. HOME TC Submissi cotan asin() acos) E 4. 6. Attempts (39 per a detailed atan() acotan() sinh) 1 3 cosh() tanh() cotanh) END O Degrees O Radians VolBACKSPACE CLEAR Submit Hint Feedlack I give up! Hints: 096 deduction per hint Hints remaining: 3 Feedback: O96 deduction per feedback A 33% Part (b) How long will it take the current to decline to 25.00% of its initial value? Express this value in seconds. A 33% Part (c) Calculate the average power dissipated in W. All content 2021 Expert TA, LLC RThe figure below shows a circuit consisting of a 15.0 V battery in series with an inductor with inductance L = 11.0 H, a resistor with resistance R = 3.00 Q, and a switch, initially open. R (a) After the switch is closed, what is the maximum current (in A) that will flow through the circuit? A (b) What is the time constant (in s) of the circuit? (c) After the switch is closed, how much time (in does it take for the current to reach 95.0% of its maximum value?
- In your own words, explain why the presence of a ferromagnetic core increases the inductance of a coil. Calculate the inductance of a coil wound on a ferromagnetic cylinder of 2 mm diameter and 10 mm length. There are 200 turns on the coil and the relative permeability of the core is 600. How does a real inductor differ from an ideal component?A 12.0 V battery is connected into a series circuit containing a 20.0 resistor and a 1.50 H inductor. (a) In what time interval (in s) will the current reach 50.0% of its final value? S (b) In what time interval (in s) will the current reach 90.0% of its final value? S What If? After a very long time, using a switch like that shown in the figure below, the battery is removed and the inductor is connected directly across the resistor. R Są ob ก ε ele (c) In what time interval (in s) will the current decrease to 50.0% of its initial value? S (d) In what time interval (in s) will the current decrease to 10.0% of its initial value? SInductors in series. Two inductors L1 = 1.06 H and L2 = 2.07 H are connected in series and are separated by a large distance so that the magnetic field of one cannot affect the other. (a) Calculate the equivalent inductance. (Hint: Review the derivations for resistors in series and capacitors in series.Which is similar here?) (b) What is the generalization of (a) for N = 32 similar inductors L = 3.32 H in series?
- (a) A coil of conducting wire carries a current of i(t) = 16.0 sin(1.20 x 10³t), where i is in amperes and t is in seconds. A second coil is placed in close proximity to the first, and the mutual inductance of the coils is 160 pH. What is the peak emf (in V) in the second coil? V (b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the frequency with which the current in the first coil changes? O Doubling the mutual inductance would lead to a larger peak emf. O Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf. O The two changes would each have the same effect.No AI and type pleaseA solenoidal inductor for a printed circuit board is being redesigned. To save weight, the number of turns is reduced by one-ninth, with the geometric dimensions kept the same. By how much must the current change if the energy stored in the inductor is to remain the same? It must be eighty-one times larger. It must be nine times larger. It should be left the same. It should be one-ninth as large. No change in the current can compensate for the reduction in the number of turns.
- A battery providing emf V is connected in series to a resistor R and an inductor L, and left until the current reaches a constant value. (a) What is the energy stored in the inductor in terms of V, R and L? Then, at t = 0, the battery is suddenly removed, so that only the inductor and resistor are left connected to each other in a closed circuit. (b) Derive an expression for the energy stored in the inductor in the new circuit without the battery. Sketch your expression as a function of time. (c) How long does it take for the energy stored in the inductor to decay to 1/9 of the initial value that you found in part (a)?Help A V = 86-V source is connected in series with an R = 1.8-kΩ resistor and an L = 28-H inductor and the current is allowed to reach maximum. At time t = 0 a switch is thrown that disconnects the voltage source, but leaves the resistor and the inductor connected in their own circuit. After the current decreases to 53 % of its maximum value, the battery is reconnected into the circuit by reversing the switch. 1) At what value of the time t, in milliseconds, does the current reach 77 % of its maximum? 2) How much energy, in millijoules, is supplied in total by the battery, both in initially bringing the current to maximum and in bringing the current back to the 77 % level from 53 %? Ignore energy dissipated in the resistor during those processes.A coil of 40 turns is wrapped around a long solenoid of cross-sectional area 7.5 × 10−3 m2. The solenoid is 0.50 m long and has 500 turns. (a) What is the mutual inductance of this system? (b) The outer coil is replaced by a coil of 40turns whose radius is three times that of the solenoid. What is the mutual inductance of this configuration?