Problems based on combination of resistance

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Q.1. For the circuit shown in below Figure, determine (a) the battery voltage V, (b) the total resistance of the circuit, and (c) the values of resistance of resistors R1, R2 and R3, given that the p.d’s across R1, R2 and R3 are 5 V, 2 V and 6 V respectively.

Q.2. For the circuit shown in below Figure, determine the p.d. across resistor R3. If the total resistance of the circuit is 100Ω, determine the current flowing through resistor R1. Find also the value of resistor R2.

Q.3. A 12 V battery is connected in a circuit having three series-connected resistors having resistances of 4Ω, 9Ω and 11Ω. Determine the current flowing through, and the p.d. across the 9Ω resistor.

Q.4. Find the voltage V in the given figure.

Q.5. For the circuit shown in given Figure, determine (a) the reading on the ammeter, and (b) the value of resistor R2.

Q.6. Two resistors are connected in series across a 24 V supply and a current of 3 A flows in the circuit. If one of the resistors has a resistance of 2Ω determine (a) the value of the other resistor, and (b) the p.d. across the 2Ω resistor. If the circuit is connected for 50 hours. how much energy is used?

Q.7. Two resistors, of resistance 3Ω and 6Ω. are connected in parallel across a battery having a voltage of 12 V. Determine (a) the total circuit resistance and (b) the current flowing in the 3Ω resistor.

Q.8. Given four 1 Ω resistors, state how they must be connected to give an overall resistance of (a) 1/4 Ω (b) 1 Ω (c) 4/3 Ω(d) 5/2 Ω. 12, all four resistors being connected in each case.

Q.9. For the circuit shown in below Figure, find (a) the value of the supply voltage V and (b) the value of current I.

Q.10. For the series-parallel arrangement shown in below Figure. find (a) the supply current. (b) the current flowing through each resistor and (c) the p.d. across each resistor.

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