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A resistor of resistance R is connected ...

A resistor of resistance R is connected to a cell internal resistance `5 Omega`. The value of R is varied from ` 1 Omega` to `5 Omega`. The power consumed by R

A

increases continuously

B

decreases continuously

C

first decreases then increases

D

first increases then decreases

Text Solution

Verified by Experts

The correct Answer is:
A
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When two resistors of resistances R_1 and R_2 are connected in parallel, the net resistance is 3 Omega . When connected in series, its value is 16 Omega . Calculate the values of R_1 and R_2 .

(a) A cell of emf E and internal resistance r is connected to a resistance R . (i) Relate r and R , so that power in R is maximum. (ii) Maximum power consumed by R . (iii) Efficiency. (b) Find value r in terms of R so that power in external circuit is maximum. (c) A battery of internal resistance 4Omega is connected to the network of resistance as shown in the figure. what must be the value of R so that maximum power is delivered to the network? what is tha maximum power?

Knowledge Check

  • Statement I: When an external resistor of resistance R (connected across a cell to internal resistance r ) is varied, power consumed by resistance R is maximum when R = r. Statement II: Power consumed by a resistor of constant resistance R is maximum when current through it is maximum.

    A
    Statement I is true, Statement II is True, Statement II is a correct explanation for Statement I.
    B
    Statement I is True, Statement II is True, Statement II is not a correct explanation for Statement I.
    C
    Statement I is True, Statement II is False.
    D
    Statement I is False, Statement II is True.

  • A resistance R whose value is varied from 1 Omega to 5 Omega is connected to a cell of internal resistance 3 Omega . The power consumed by R.

    A
    increases continuously
    B
    decreases continuously
    C
    first decreases then increases
    D
    first increases then decreases

  • A battery of internal resistance 2 Omega is connected ot a variable resistor whose value can vary from 4 Omega to 10 Omega . The resistance is initially set at 4 Omega . If the resistance is now increased then

    A
    power consumed by it will decrease
    B
    power consumed by it will increase
    C
    power consumed by it may increase or may decrease
    D
    power consumed will first increase then decrease

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