Three resistors having resistances of 1.60 Ohm, 2.40 Ohm, and 4.80 Ohm are conne

Question

Three resistors having resistances of 1.60 Ohm, 2.40 Ohm, and 4.80 Ohm are connected in parallel to a 28.0-V battery that has negligible internal resistance. Find (a) the equivalent resistance of the combination: (b) the current in each resistor: (c) the total current through the battery: (d) the voltage across each resistor: (e) the power dissipated in each resistor. Why do the lights on a car become dimmer when the starter is operated? A doubly charged ion of beryllium, Be (mass 1.51 times 10^-26 kg) traveling at 96.9 km/s enters a uniform magnetic field with magnitude 0.500 T directed perpendicular to its motion. (a) Find the radius of ion's path. (b) Sketch the motion of the ion, showing its initial velocity and the direction of the magnetic field. A 4.60-mu F capacitor that is initially uncharged is connected in series with a 7.50-k Ohm resistor and an emf source with epsilon = 245 V and negligible internal resistance. Just after the circuit is completed, what are (a) the voltage drop across the capacitor: (b) the voltage drop across the resistor: (c) the charge on the capacitor, (d) the current through the resistor? (e) A long time after the circuit is completed (after many time constants) what are the values of the quantities in parts (a)-(d)? (a) Explain the concept of the displacement current. (b) State the Ampere-Maxwell law by words. (c) Write its integral form. Fundamental constants

Explanation / Answer

1-

a) 1/Re = (1/1.6)+(1/2.4)+(1/4.8)

So , Re = 0.8 ohm

b) ir1 = 28/1.6 =17.5 Amp

ir2 = 28/2.4 = 11.67 Amp

ir3 = 28/4.8 = 5.83 Am

c) total current , i = 28/Re =28/0.8 =35 Amp

d) Voltage across each resistor will be same and equal to 28 V.

e) P1 = ir1^2*r1

P2 = ir2^2*r2

P3 = ir3^2*r3

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