Electric Circuits Answers

Ruel is on his way to the grocery store riding his motorcycle. He started at rest in front of their house. He then travels ahead so that his distance from where he started is given by the equation:

  x(t)=(2.4ms2)t2−(0.120ms3)t3

a. Calculate the average velocity of the motorcycle for the time interval t=0 sec to t=10 sec.

b. Determine the instantaneous velocity at t=0 sec and t=5 sec

A 10×10^-6F capacitor is charged to a pd of 100V. A 2×10^-6F capacitor is connected in parallel with it, disconnected and discharged. This process of connection, disconnection and discharge is carried out four times. Calculate :

1. The fraction of the original charge which remains on the larger capacitor after the first connection.
2. The fraction of the original charge that remains after the fourth connection.
3. The final pd across the 10×10^-6 capacitor

a sheet of polythene(er=1.3) and 0.5mm thickis to be used in capacitor by sandwiching it two sheet of aluminum foil.what area must sheets have

Two resistances of 10 and 15 ohms each respectively are connected in parallel. The two are then connected in series with a 5-ohm resistance. What is the equivalent resistance?

A 2µF capacitor is charged to 10 V, and then discharged through a 1.0 MΩ resistor.

a) What is the time constant of the discharge circuit? (Answer: 2 s)

b) What is the time taken for the potential difference across the capacitor to drop to 5 V? (Answer: 1.39

s)

A solenoid has 80 cm length, number of loop is 4 and magnetic field inside it

        is 1.2 x 10 – 5T.  Find the current passing through the each loop of wire.

Find the magnetic field produced by the solenoid if the number of loops is 400

       and current passing through it is 5A. (Length of the solenoid is 40cm).

A wire is Bent into a circle of radius a and a total charge Q is distributed uniformly around it.find the magnetic field at the center if the wire rotates with an angular velocity w about the axis of the circle

A 3-Ω light bulb and a 6-Ω light bulb are connected in series with a 6-volt battery. a) What is the current in each bulb? b) What is the voltage across each bulb? c) What is the power dissipated by each bulb? d) What is the total dissipated by the wire?

A 40-Ω resistor is connected in series to the parallel combination of a 60-Ω resistor and a 30-Ω resistor to form a load a 120-V. Determine the current through and the voltage across each resistor.