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Consider the circuit shown in the diagram. What is... the combined equivalent re

ID: 1549825 • Letter: C

Question

Consider the circuit shown in the diagram. What is... the combined equivalent resistance of all of the resistors. the five currents that would be measured through each of the five resistors, and the voltages that would be measured at each of the seven nodes marked with dots? An electron travels in the -x direction at a speed of 2.1 times 10^5 m/s. A bar magnet (not shown) is producing a field of 0.055 T at its location, pointing at an angle of 135 degree towards +x from its motion. What are the magnitude and direction of the magnetic force on the electron? Remember that you can evaluate the magnitude and direction of a cross product separately, and that will be easier than using the "big formula." Finally, write this magnetic force as a three-component vector. the 10 cm long wire that forms the right edge of this circuit is in a 1.45 T magnetic field that points to the page. What are the magnitude and direction of the magnetic force on the circuit? A circuit consists of a 1.5-volt battery, a 220-ohm resistor, and a 0.47 microfarad capacitor, all connected in series. This circuit is connected at time t = 0, with the capacitor initially uncharged. At some later time t_1, the current in the circuit is 1.8 mA. At that instant, what are the potential differences across the resistor and the capacitor? What is the time t_1?

Explanation / Answer

a)

R2,R3 and R4 are in series

R234=8+4+8=20 ohms

R1 and R234 are in parallel

1/R1234 =1/20 +1/6

R1234=4.615 ohms

R1234 and R5 are in series ,so equivalent resistance

Req=8+4.615=12.615 ohms =12.62 ohms

b.

total current

I=V/Req=12/12.62=0.95 A
Current through each resistor

I5=0.95 A

I4=0.95*(20/20+6)=0.73 A

I1=I2=I3=0.95-0.73=0.22A

c)

Voltage across each resistor

V1=0.73*6=4.38 Volts=4.4 Volts

V2=0.22*8=1.76 Volts=1.8 Volts

V3=0.22*4=0.88 Volts=0.9 Volts

V4=0.22*8=1.76 Volts=1.8 Volts

V5=0.95*8=7.6 Volts

Voltage across the positive terminal is

V+=12 Volts

Voltage across negative terminal is

V-=0 Volts