Problem 12 Batteries are recharged by connecting them to a power supply (i.e., a

Question

Problem 12 Batteries are recharged by connecting them to a power supply (i.e., another battery) of greater emf in such a way that the current flows into the positive terminal of the battery being recharged. This reverse current through the battery replenishes its chemicals. The current is kept fairly low so as not to overheat the battery being recharged by dissipating energy in its internal resistance.
Part A Suppose the real battery of the figure is rechargeable. What emf power supply should be used for a 0.95 A recharging current? Part A Suppose the real battery of the figure is rechargeable. What emf power supply should be used for a 0.95 A recharging current?
Part B If this power supply charges the battery for 10 minutes, how much energy goes into the battery? Part B If this power supply charges the battery for 10 minutes, how much energy goes into the battery?
Part C How much is dissipated as thermal energy in the internal resistance? Part C How much is dissipated as thermal energy in the internal resistance?
1.0 1.5 V

Explanation / Answer

Part A )

using equation

v = i R

v = 0.95 X 1

v = 0.95 volts

the total emf will be supplied is V = 0.95 + 1.5

V = 2.45 volts

Part B )

the equation used for the power is

P = V X i

then we have even get E = V X i X t

E = 2.45 X 0.95 X 600 ( since t = 10 mins = 10 X 60 = 600 sec )

E = 1396.5 J

Part C )

using same equation

E = v X i X t

E = 0.95 X 0.95 X 600 ( since t = 10 mins = 10 X 60 = 600 sec )

E = 541.5 J

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