
Please show the derivation of the formulas!

Please show the derivation of the formulas! Coil 1 has L1 = 25 mH and N1...
Coil 1 has L1 = 40 mH and N1 = 101 turns. Coil 2 has L2 = 41 mH and N2 = 234 turns. The coils are fixed in place; their mutual inductance M is 5.6 mH. A 6.1 mA current in coil 1 is changing at the rate of 4.4 A/s. (a) What magnetic flux Φ12 links coil 1, and (b) what self-induced emf appears in that coil? (c) What magnetic flux Φ21 links coil 2, and (d) what...
Coil 1 has L1 = 50 mH and N1 = 113 turns. Coil 2 has L2 = 72 mH and N2 = 233 turns. The coils are fixed in place; their mutual inductance M is 5.5 mH. A 7.3 mA current in coil 1 is changing at the rate of 7.3 A/s. (a) What magnetic flux Φ12 links coil 1, and (b) what self-induced emf appears in that coil? (c) What magnetic flux Φ21 links coil 2, and (d) what...
Coil 1 has L1 = 26 mH and N1 = 102 turns. Coil 2 has L2 = 59 mH and N2 = 216 turns. The coils are fixed in place; their mutual inductance M is 6.3 mH. A 8.4 mA current in coil 1 is changing at the rate of 4.5 A/s. (a) What magnetic flux Φ12 links coil 1, and (b) what self-induced emf appears in that coil? (c) What magnetic flux Φ21 links coil 2, and (d) what...
Coil 1 has L1 = 50 mH and M, = 104 turns. Coil 2 has L2 = 68 mH and M2 = 227 turns. The coils are fixed in place; their mutual inductance M is 3.6 mH. A 8.0 mA current in coil 1 is changing at the rate of 4.8 A/s. (a) What magnetic flux D12 links coil 1, and (b) what self-induced emf appears in that coil? (c) What magnetic flux D21 links coil 2, and (d) what...
Chapter 30, Problem 072 has L1 = 26 mH and N1 = 122 tums. Coll 2 has L2 = 68 mH and N2 = 234 turns. The colls are fixed in place; their mutual inductance M is 5.2 mH. A 6.8 A current in coil 1 is changing at the rate of 6.0 A/s a w at magnetic flux Φ12 lin 1, and (b) what self-induced emf appears in that col? (c) Wh t magnetic flux Φ21 links coil 2,...
LI and L2 are two coils with 800 turns and 1500 turns respectively. It is found that 55 % of the flux produced by coil L1 links with the coil L2. A current of 7A in coil LI produces 60u Wb ; while a current of 3A in coil L2 produces 30 Wb. Determine: a. The mutual inductance b. The self- inductances
A coil has 460 turns and self-inductance 7.50 mH. The current in the coil varies with time according to i=(680mA)cos[πt/(0.0250s)]. What is the maximum emf induced in the coil? What is the maximum average flux through each turn of the coil? At t=0.0180 s, what is the magnitude of the induced emf?
10. A coil has 400 turns and self-inductance 4.80 mH. The current in the coil varies with time according to i=(680mA)cos(att/0.0250s). (a) What is the maximum emf induced in the coil? (b) What is the maximum average flux through each turn of the coil? (c) At t= 0.0180 s, what is the magnitude of the induced emf?
A long solenoid (coil 1) is surrounded at its center by a shorter coil (coil 2) as in (Figure 1). At an instant when the current in coil 1 is 44.0 A and increasing at a rate of 2.00 A/s, the induced emf in coil 2 is 1.50×10−4 V. What is the mutual inductance of the two coils? At this instant, what is the total magnetic flux through all the turns of coil 2 due to the current in coil...
(5pts) Self-inductance (L) ofacoil is defined as the constant ofproporto nality between the coil current (i) and the flux (NO) linking the coil (ie, 1 = NO, and (iii) so, by Paraday's law, voltage in the coLUse any one of these relationships to find the self-inductance of the solenoid (Show working for full grade) Self-inductance (L) (iv) A second coil of 25 turns is tightly wound around the middle section of the solenoid, such that the flux generated by the...