NCERT Physics Class 12 Exemplar Chapter 3 Current Electricity Part 6
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Q.27 Suppose there is a circuit consisting of only resistances and batteries. Suppose one is to double (or increase it to ntimes) all voltages and all resistances. Show that currents are unaltered. Do this for circuit of Example 3.7 in the NCERT Text Book for Class XII.
Ans:

We can think of reducing entire network to a simple one for any branch R as shown in Fig.

Dimensionally has a dimension of voltage and has a dimension of resistance.

Therefore if all are increased nfold and.

Current thus remains the same.
Long Answer
Q.28 Two cells of voltage and and internal resistances and respectively, are connected in parallel with the positive end of battery connected to negative pole of battery Find the effective voltage and effective resistance of the combination.
Ans:
Applying Kirchhoff’s junction rule:
Kirchhoff’s loop rule gives:
i)
.
Q.29 A room has AC run for 5 hours a day at a voltage of. The wiring of the room consists of Cu of 1 mm radius and a length of 10 m. Power consumption per day is 10 commercial units. What fraction of it goes in the joule heating in wires? What would happen if the wiring is made of aluminium of the same dimensions?
Ans:
Power consumption
Power loss in wire
Power loss in Al wire
Q.30 In an experiment with a potentiometer,. R is adjusted to be (Fig. 3.9). A student wanting to measure voltage of a battery (approx. 8V) finds no null point possible. He then diminishes R to and is able to locate the null point on the last (4^{th}) segment of the potentiometer. Find the resistance of the potentiometer wire and potential drop per unit length across the wire in the second case.
Ans:
Let be the resistance of the potentiometer wire.

Any between and will achieve.

Potential drop across cm of wire

Potential drop across cm of wire.
.
Q.31 (a) Consider circuit in figure How much energy is absorbed by electrons from the initial state of no current (ignore thermal motion) to the state of drift velocity?
(b) Electrons give up energy at the rate of per second to the thermal energy. What time scale would one associate with energy in problem (a)? , length of circuit, crosssection
Ohmic loss
All of KE of electrons would be lost in