Electric Circuits Answers

 Determine the net capacitance of each of the circuits (a) and (b) shown in the diagram 

below given that C1=1.0pF, C2=2.0pF and C3=4.0pF. 

b. Find the charge on each capacitor in circuit (b) assuming there is a potential difference of 

12.0 V across the circuit.

a.     A proton (q=+5x10^-19C) is injected from right to left into a field B of 0.5 T directed toward the upper side of a sheet of paper. If the velocity of the proton is of 4x10⁶m/s, find the magnitude and direction of the magnetic force over the proton.

b.      A wire 50 cm long conducts a current of 1A forming an angle of 35° to the north of a magnetic field directed toward east. Find the magnitude of the magnetic field so that a force of 17N can be exerted over the wire. Find the direction of the force.

a) A wire 40 cm long conducts a current of 2A perpendicular to the direction of a magnetic field B=0.25T. Find the magnetic force over the wire.

b) An alpha particle (+2e) its projected into a magnetic field of 0.14T with a velocity of 3.9x10⁶m/s. Find the magnetic force over the charge at the instant in which the direction of its velocity forms an angle of 55° with respect to the magnetic flux.

a) A proton in a particle accelerator has a speed of 4.0 x 10⁶ m/s. The proton encounters a magnetic field whose magnitude is 0.50T and whose direction makes an angle of 20o with respect to the proton's velocity. Find the magnitude and direction of the magnetic force on the proton. 

a) A beam of protons moves at 3.0 x 10⁵ m/s through a uniform magnetic field with magnitude 2.0 T and whose direction makes an angle of 32o with respect to the proton's velocity. Find the velocity and magnitude of the force on the proton.

b) What is the maximum force on an aluminum rod with a 0.2μC charge that is crossed between the poles of a 2.5T permanent magnet at a speed of 6m/s? In what direction is the force? 

The equivalent resistance of two resistors R1 and R2 is given by Req = R1 + R2 and Req =R1R2/R1+R2

when they are connected in series and parallel respectively. If R1 = 22.0 Ω ±

5% and R2 = 47.0 ± 5% , find the maximum error in the calculation of their equivalent

resistance when they are connected in series and parallel.

What will be the time required to half the amplitude of charge stored by a capacitor and time for the energy stored to be halved in a series LRC circuit with L=41mH, R=0.04 ohms and C=4.7uF?

The equivalent resistance of two resistors R1 and R2 is given by 𝑅𝑒𝑞 = 𝑅1 + 𝑅2 and 𝑅𝑒𝑞 = 𝑅1𝑅2 𝑅1+𝑅2 when they are connected in series and parallel respectively. If 𝑅1 = 22.0 Ω ± 5% 𝑎𝑛𝑑 𝑅2 = 47.0 ± 5% , find the maximum error in the calculation of their equivalent resistance when they are connected in series and parallel.

The equivalent resistance of two resistors R1 and R2 is given by 𝑅𝑒𝑞 = 𝑅1 + 𝑅2 and 𝑅𝑒𝑞 =

𝑅1𝑅2

𝑅1+𝑅2

when they are connected in series and parallel respectively. If 𝑅1 = 22.0 Ω ±

5% 𝑎𝑛𝑑 𝑅2 = 47.0 ± 5% , find the maximum error in the calculation of their equivalent

resistance when they are connected in series and parallel.

DETERMINE THE RESISTANCE OF A BUSBAR MADE OF COPPER IF THE LENGTH IS 5m LONG

AND THE CROSS-SECTION IS A 4X4𝑐m^2 . USE 1.7241 MICRO OHM-CM.