13. (5 pt.) A 4.0 A current runs along the x-axis. What s magnetic field at the

Question

13. (5 pt.) A 4.0 A current runs along the x-axis. What s magnetic field at the point (x, y-(3,4) cm? What is the magnitude and dlirestion of the 14. (S pt.) A coil of wire acting as an inductor is connected into a simple electrical circuit with a on which of the following: select correct answers each turn. The voltage dropfor back emf) across the inductor depends A) the number of turns of wire in the coil B) the current flowing through it C) its capacitance D) how rapidly current is changing in the coil E) the charge accumulated in the coil F) size and shape of the coil 15. (10 pts.) A series RLC circuit with L-150 mH, C-80 ?F, and R-30.0 ? is connected to a sinusoidal voltage V (t)-(40.0 V) sin ut, with u-200 rad/s. V(a)-Vo sinør (a) What is the inductive reactance, the capacitive reactance, and the overall resistance to the flow of current in the circuit? (b) What is the phase angle between the current and the voltage?

Explanation / Answer

13. perpendicular distance from wire,

r = 4 cm = 0.04 m

B = u0 I / (2 pi r) = (4pi x 10^-7)(4) / (2 x pi x0.04)

B = 2 x 10^-5 T  

direction - out of page

14. V = L(dI/dt)

L = u0 N^2 A / l

Ans(A D F)

15. R = 30 ohm

inductive reactance, XL = w L = 200 x 0.150

xL = 30 ohm

capacitive reactance, Xc = 1 / w C
Xc = 62.5 ohm

overall resistance = sqrt[ R^2 + (XL - Xc)^2]

= 44.2 ohm

(B) phi = tan^-1[ -32.5 / 30] = - 47 deg

angle = 47 deg

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