3. A battery having an e.m.f. of 105 V and an internal resistance of 1 2 is connected in parallel with a d.c. generator of e.m.f. 110 V and internal resistance of 0.5 2 to supply a load having a resistance of 8 2. Calculate: (a) the currents in the battery, the generator and the load; (b) the potential difference across the load.
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Answer:
1)A battery having an e.m.f. of 105 V and an internal resistance of 1 Ω is connected in parallel with a d.c. generator of e.m.f. 110 V and internal resistance of 0.5 Ω to supply a load having a resistance of 8 Ω. Calculate: (a) the currents in the battery, the generator and the load; (b) the potential difference across the load.
1)b.Two batteries are connected in parallel. The e.m.f. and internal resistance of one battery are 120 V and
10 Ωrespectively and the corresponding values for the other are 150 V and 20 Ω. A resistor of 50 Ω is connected across the battery terminals. Calculate (a) the current through the 50 Ω resistor, and (b) the value and direction of the current through each battery. If the 50 Ωresistor were reduced to 20 Ωresistance, find the new current through it.
1)c.Two batteries A and B are joined in parallel. Connected across the battery terminals is a circuit consisting of a battery C in series with a 25 Ωresistor, the negative terminal of C being connected to the positive terminals of A and B. Battery A has an e.m.f. of 108 V and an internal resistance of 3 Ω, and the corresponding values for battery B are 120 V and 2 Ω. Battery C has an e.m.f. of 30 V and a negligible internal resistance. Determine (a) the value and direction of the current in each battery and (b) the terminal voltage of battery A.