b) Two batteries, both 10 V, with 2 2 internal resistance, are connected in parallel with a 3 resistor. i) State Kirchhoff's Laws and the physical principles that they express. ii) Draw the circuit. iii) Find the current through the 3 resistor for the circuit above. Then find the current through the 3 resistor if one battery has an internal resistance of 1.5 2 and the other, 3 Ω. iv) The battery voltages, when measured more precisely, turn out to be slightly different from their nominal values. One is 10+v V and the other 10-v V, with v << 10. Explain qualitatively (i.e. without exact calculation) how this will affect the current through the 3 resistor.

College Physics
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b) Two batteries, both 10 V, with 2 2 internal resistance, are connected in parallel with a 3
resistor.
i) State Kirchhoff's Laws and the physical principles that they express.
ii) Draw the circuit.
iii) Find the current through the 3 resistor for the circuit above. Then find the current
through the 3 resistor if one battery has an internal resistance of 1.5 2 and the other,
3 Ω.
iv) The battery voltages, when measured more precisely, turn out to be slightly different
from their nominal values. One is 10+v V and the other 10-v V, with v << 10. Explain
qualitatively (i.e. without exact calculation) how this will affect the current through the
3 resistor.
Transcribed Image Text:b) Two batteries, both 10 V, with 2 2 internal resistance, are connected in parallel with a 3 resistor. i) State Kirchhoff's Laws and the physical principles that they express. ii) Draw the circuit. iii) Find the current through the 3 resistor for the circuit above. Then find the current through the 3 resistor if one battery has an internal resistance of 1.5 2 and the other, 3 Ω. iv) The battery voltages, when measured more precisely, turn out to be slightly different from their nominal values. One is 10+v V and the other 10-v V, with v << 10. Explain qualitatively (i.e. without exact calculation) how this will affect the current through the 3 resistor.
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