Determine the volume charge density rho Use Gauss\' law to determine the electri

Question

Determine the volume charge density rho Use Gauss' law to determine the electric field at a distance (measured from the center of the sphere). B) r = 0.05 m A) r = 1.00 m Uniform electric field in a region is given by E = (120 N/C)j. At any instant, an electron moving through this field has its velocity components given by v_x = 1.5 times 10^5 m/s and v_y = 3.0 times 10^5 m/s. A) using an x-y coordinate system draw a diagram to show the motion of the electron in the field. B) Determine the magnitude and direction of the electrons acceleration in the field. C) Determine the electron's velocity, magnitude and direction, when it's x-coordinate has changed by 0.02 m. A wire of 4.0 m long and 6.0 mm in diameter has a resistance of 15 m Ohm. Calculate the resistivity of the material of the wire. In an RC circuit, a source of emf is connected in series with a capacitor C = 15 mu F and resistor R = 20.0 Ohm. Find how long it will take to charge the capacitor to 50% of its maximum charge. A 100-mH inductor carries a current I = I_mas sin 2 pi ft, with I_max = 5.0 A and frequency f = 60 Hz. What is the back emf 1ms after the start (at t=1 ms)? of 0.5 A through the resistor R? A lens of focal 75 mm is used to take an image of a person standing 27 m away. A) If the person is 180 cm tall, what is the height of the image? B) Draw a ray diagram showing the object and image positions and height (use an approximate scale).

Explanation / Answer

2.3

R = rho*L/A

rho = resistivity

rho = R*A/L

rho = 15*10^-3*pi*(3*10^-3)^2/4 = 1.06*10^-7 ohm-m

2.4

Q = Q0*(1 - exp(-t/RC))

we need to find t when Q = Q0/2

Q0/2 = Q0*(1 - exp(-t/RC))

exp (-t/RC) = 1/2

t/RC = ln 2

t = RC*ln 2

t = 20*15*10^-6*ln 2

t = 2.08*10^-4 sec

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