Problem 2: An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner's 2.00 T field with his fingers pointing in the direction of the field. His wedding ring has a diameter of 2.2 cm and it takes 0.475 s to move it into the field.

Randomized Variables

d=2.2 cm

t = 0.475 s

What average current is induced in the ring in A if its resistance is 0.0100 52?

Problem 4: A screwdriver is being used in a 15 T magnetic field.

Randomized Variables

B = 15 T

1 = 12 cm

v = 0.35 m/s

What maximum emf can be induced in V along its 12 cm length when it moves through the field at 0.35 m/s?

Problem 5: Suppose a conducting rod is 71 cm long and slides on a pair of rails at 4.75 m/s.

Randomized Variables

v = 4.75 m/s

1=71 cm

What is the strength of the magnetic field in T if a 4 V emf is induced?

Problem 6: A bicycle generator rotates at 110 rad/s, producing an 15 V peak emf. It has a 1.00 by 3.00 cm rectangular coil in a 0.65 T field.

Randomized Variables

E0 = 15 V

w = 110 rad/s

B = 0.65 T

How many turns are in the coil?

Problem 7: A car generator turns at 400 pm when the engine is idling. Its 300 turn, 4.95 cm by 8.25 cm rectangular coil rotates in an adjustable magnetic field so that it can produce sufficient voltage even at low rpms.

Randomized Variables

dy = 4.95 cm

d2 = 8.25 cm

Ep = 26 V

What is the field strength (in T) needed to produce a 26 V peak emf?

Problem 8: A motor operating on a 260 V source has a 165 V back emf at operating speed and draws a 13.5 A current.

a) What is its resistance in S?

b) What current does it draw when it is first started in A?

Problem 9: The motor in a toy car operates on 5.7 V source, developing a 4.7 V back emf at normal speed.

Randomized Variables

V =5.7 V

E6 = 4.7 V

If it draws 3.1 A at normal speed, what current does it draw when starting in A?

Problem 10: The motor in a toy car is powered by four batteries in series, which produce a total emf of 6.8 V. The motor draws 3.3 A and develops a 2.7 V back emf at normal speed. Each battery has a 0.13 & internal resistance.

Randomized Variables

V =6.8 V

V6=2.7 V

1=3.3 A r =0.13 2

What is the resistance of the motor in S?

Problem 11: Suppose a large power plant generates electricity at 12.0 kV. Its old transformer once converted this voltage to 320 kV. The secondary coil of this transformer is being replaced so that its output can be 765 kV for more efficient cross-country transmission on upgraded transmission lines.

Randomized Variables

V, =320 kV

V2=765 kV

a) If the overall power output is 1000.0 MW and line resistance is 2.00 , what was the power loss, in watts, in the old power lines which left the plant?

b) If the overall power output is 1000.0 MW and line resistance is 2.00 , what is the power loss, in watts, in the new power lines which leave the plant?

Problem 12: Camera flashes charge a capacitor to high voltage by switching the current through an inductor on and off rapidly.

Randomized Variables

L = 2.1 mH

I = 0.23 A

E = 505 V

In how many seconds must the 0.23 A current through a 2.I mH inductor be switched on or off to induce an average 505 V emf?

Problem 13: A precision laboratory resistor is made of a coil of wire. The coil is 1.75 cm in diameter, 4.75 cm long, and has 500 turns.

a) What is its self-inductance in millihenries?

b) What average emf in volts is induced if a 12.0 A current through it is turned on in 5.00 ms (one-fourth of a cycle for 50 Hz AC)?

c) What is its inductance in millihenries if it is shortened to half its length and its 500 turns are counter-wound (wound as two oppositely-directed layers of 250 turns each)?

Problem 14: Suppose you have a supply of inductors ranging from 0.46 uH to 8.5 mH, and resistors ranging from 51 & to 640 kg.

Randomized Variables

Lmin = 0.46 uH

Lmax = 8.5 mH

Rmin = 51 S

R

max = 640 k

a) What is the minimum characteristic RL time constant you can produce by connecting a single resistor to a single inductor in s?

b) What is the maximum characteristic RL time constant you can produce by connecting a single resistor to a single inductor in s?

Problem 15: Suppose you want to construct an RL circuit with a time constant of 2 s and you have a 420 & resistor.

What value of self-inductance, L, in henries, is needed?

PLEASE ANSWER EACH QUESTION. THANK YOU, WILL RATE IMMEDIATELY!!!