In the figure is shown a battery having an emf of 12 Volts and an internal resistance of 0.40 Ohm. A resistor R1 of 2.6 Ohms is connected across its terminals ab. Determine (a) resistance of R which, when connected across terminals ab in parallel with R1 will make the power delivered by the battery a maximum; (b) current in R1 and R; (c) terminal voltage of battery;

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In the figure is shown a battery having an emf of 12 Volts and an internal resistance of 0.40 Ohm.
A resistor R1 of 2.6 Ohms is connected across its
terminals ab. Determine (a) resistance of R
which, when connected across terminals ab in
parallel with R1 will make the power
delivered by the battery a maximum; (b)
current in R1 and R; (c) terminal voltage of
battery; (d) power in R1 and in R; (e) power lost in battery
Hint: To maximize power in R, use differentiation


In the circuit shown, a 6-Ohm resistor connected in series to a parallel combination of two
resistors, one is 30-Ohm and the other is R being
unknown. Determine the value of R if: (a) the
power dissipated in 6-Ohm resistor is equal to
the power in the parallel combination; (b) he
power in 6-Ohm is equal to the power of in R; (c)
value of R maximum power transfer.
Hint: To maximize power in R, use differentiation

In the figure is shown a battery having an emf of 12 Volts and an internal resistance of 0.40 Ohm.
A resistor R, of 2.6 Ohms is connected across
its
terminals ab. Determine (a) resistance of R
which, when connected across terminals ab in
E - 12 V
ER, = 2.62
R
parallel with R, will make the power r= 0.402-
delivered by the battery a maximum; (b)
current in R, and R; (c) terminal voltage of
battery; (d) power in R¡ and in R; (e) power lost in battery
Hint: To maximize power in R, use differentiation
In the circuit shown, a 6-Ohm resistor connected in series to a parallel combination of two
resistors, one is 30-Ohm and the other is R being
unknown. Determine the value of R if: (a) the
power dissipated in 6-Ohm resistor is equal to
the power in the parallel combination; (b) he
power in 6-Ohm is equal to the power of in R; (c)
value of R maximum power transfer.
E = 24 V
r= 0.20 2
302
Hint: To maximize power in R, use differentiation
Transcribed Image Text:In the figure is shown a battery having an emf of 12 Volts and an internal resistance of 0.40 Ohm. A resistor R, of 2.6 Ohms is connected across its terminals ab. Determine (a) resistance of R which, when connected across terminals ab in E - 12 V ER, = 2.62 R parallel with R, will make the power r= 0.402- delivered by the battery a maximum; (b) current in R, and R; (c) terminal voltage of battery; (d) power in R¡ and in R; (e) power lost in battery Hint: To maximize power in R, use differentiation In the circuit shown, a 6-Ohm resistor connected in series to a parallel combination of two resistors, one is 30-Ohm and the other is R being unknown. Determine the value of R if: (a) the power dissipated in 6-Ohm resistor is equal to the power in the parallel combination; (b) he power in 6-Ohm is equal to the power of in R; (c) value of R maximum power transfer. E = 24 V r= 0.20 2 302 Hint: To maximize power in R, use differentiation
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