ANSWER ALL TEHESE QUESTIONS

Question $5$

For the circuit shown in opposite figure the voltmeter reading is

$8$ V when the switch $ has been closed for a long time.

a$)$ Calculate the emf of the battery.

b$)$ Calculate the charge on the capacitor.

c$)$ If the switch is opened, what is the discharge time constant?

Question $6$

A horizontal, current carrying wire of mass $40$ gm is free to slide

without friction along two vertical conducting rails spaced $80$ cm

apart as shown in opposite figure. A uniform magnetic field of $1\mathrm{.}5$

T is directed into the plane of drawing. What magnitude and

direction must the current have if the force exerted by the

magnetic field on the wire is just sufficient to balance the force alpha

gravity on the wire?

Question $7$

In opposite figure, the current in the long, straight wire is h$\_(1)=4$A and the wire

lies in the plane of the rectangular loop, which carries the current l$\_(2)=8$A$.$ The

dimensions are c$=0\mathrm{.}1$m$,$a$=0\mathrm{.}2$m$,$ and $//=0\mathrm{.}5$m$.$ Find the magnitude and

direction of the net force exerted on the loop by the magnetic field created

by the wire.