A ring is made of a wire having a resistance of R0=12 Ω.R0=12 Ω.. Find points AA and BB, as shown in the figure, at which a current-carrying conductor should be connected so that the resistance RR of the subcircuit between these points equals 83 Ω83 Ω??
1. | l1l2=58l1l2=58 | 2. | l1l2=13l1l2=13 |
3. | l1l2=38l1l2=38 | 4. | l1l2=12l1l2=12 |
If power dissipated in the 9 Ω9 Ω resistor in the circuit shown is 3636 W, the potential difference across the 2 Ω2 Ω resistor will be:
1. 88 V
2. 1010 V
3. 22 V
4. 44 V
A current of 2 A2 A flows through a 2 Ω2 Ω resistor when connected across a battery. The same battery supplies a current of 0.5 A0.5 A when connected across a 9 Ω9 Ω resistor. The internal resistance of the battery is:
1. | 13 Ω13 Ω | 2. | 14 Ω14 Ω |
3. | 1 Ω1 Ω | 4. | 0.5 Ω0.5 Ω |
A potentiometer circuit is set up as shown in the figure below. The potential gradient across the potentiometer wire is k volt/cm. Ammeter present in the circuit reads 1.0 A when the two-way key is switched off. The balance points, when the key between the terminals (i) 1 and 2 (ii) 1 and 3, is plugged in, are found to be at lengths l1l1 cmcm and l2l2 cmcm respectively. The magnitudes of the resistors R and X in ohm, are then, respectively, equal to:
1. k(l2-l1)k(l2−l1) andand kl2kl2
2. kl1kl1 andand k(l2-l1)k(l2−l1)
3. k(l2-l1)k(l2−l1) andand kl1kl1
4. kl1kl1 andand kl2kl2
Statement I: | Kirchhoff’s junction law follows the conservation of charge. |
Statement II: | Kirchhoff’s loop law follows the conservation of energy. |
1. | Both Statement I and Statement II are incorrect. |
2. | Statement I is correct but Statement II is incorrect. |
3. | Statement I is incorrect and Statement II is correct. |
4. | Both Statement I and Statement II are correct. |
A wire of resistance 12 Ωm−112 Ωm−1 is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite points, A and B as shown in the figure, is:
1. | 0.6π Ω | 2. | 3π Ω |
3. | 61π Ω | 4. | 6π Ω |
See the electrical circuit shown in this figure. Which of the following is a correct equation for it?
1. | ε1−(i1+i2)R−i1r1=0 |
2. | ε2−i2r2−ε1−i1r1=0 |
3. | −ε2−(i1+i2)R+i2r2=0 |
4. | ε1−(i1+i2)R+i1r1=0 |
A current of 3 A flows through the 2 Ω resistor shown in the circuit. The power dissipated in the 5 Ω resistor is:
1. | 4 W | 2. | 2 W |
3. | 1 W | 4. | 5 W |
1. 1.2 times, 1.1 times
2. 1.21 times, same
3. both remain the same
4. 1.1 times, 1.1 times