Home
Class 12
PHYSICS
A cell of internal resistance r drivers...

A cell of internal resistance r drivers current through an external resistance R. The power delivered by the to the external resistance will be maximum when:

A

R=0.001r

B

R=1000r

C

R=2r

D

R=r

Text Solution

Verified by Experts

`i=E/(R+r), P=i^2R=(E^2R)/(R+r)^2`
For maximum power , `(dP)/(dR)=0 implies R=r`
Promotional Banner

Topper's Solved these Questions

  • DC CIRCUIT

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|68 Videos
  • DC CIRCUIT

    VMC MODULES ENGLISH|Exercise LEVEL-2 DAILY TUTORIAL SHEET-5|10 Videos
  • CURRENT ELECTRICITY

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-F|10 Videos
  • DYNAMICS OF A PARTICLE

    VMC MODULES ENGLISH|Exercise JEE Advance (Archive) Level - II (SINGLE OPTION CORRECT TYPE )|31 Videos

Similar Questions

Explore conceptually related problems

A cell of e.m.f. E and internal resistance r is used to send current to an external resistance R. Write expressions for (a) the total resistance of circuit, (b) the current drawn from the cell, (c) the p.d. across the cell, and (d) voltage drop inside the cell.

A cell of emf E and internal resistance r is connected in series with an external resistance nr. Than what will be the ratio of the terminal potential difference to emf, if n=9.

A cell of e.m.f E and internal resitance r ,is connected to an external resistance R. the variation of potential difference V across the resistance R as function of R as shown in the figure, is the best represented by curve

Two cells of 1.5 V and 2 V , having internal resistances of 1Omega and 2Omega respectively, are connected in parallel so as to read the current in the same direction through an external resistance of 5 Omega . The current in the external resistance will be

A battery is of emt E and internal resistance R . The value of external resistance r so that the power across eternal resistance is maximum :

Two cells , each of emf E and internal resistance r , are connected in parallel across a resistor R . The power delivered to the resistor is maximum if R is equal to

A cell of emf epsilon and internal resistance r is connected across a load resistance R (i) Find the maximum power delivered at the load ? .

A cell of e.mf. E and internal resistance r is connected in series with an external resistance nr. Then, the ratio of the terminal potential difference to E.M.F.is

Consider N=n_(1)n_(2) indentical cells, each of emf (epsilon) and internal resistance r. Suppose n_(1) cells are joined in series to forn a line and n_(2) such are connected in parallel. The combination drives a current in an external resistance R.(a) find the current in the external resistance, (b) Assuming that n_(1) and n_(2) can be continuously varied, find the relation between n_(1) ,n_(2) R and r for which the current in R in maximum.

In a circuit a cell with internal resistance r is connected to an external resistance R. The condition for the maximum current that drawn from the cell is

VMC MODULES ENGLISH-DC CIRCUIT-LEVEL-1 JEE MAIN ARCHIVE
  1. Two electric bulbs , rated at (25W,220V) and (100W,220V), are conne...

    Text Solution

    |

  2. A 200Omega resistor has a certain color code. If one replaces the red ...

    Text Solution

    |

  3. A cell of internal resistance r drivers current through an external r...

    Text Solution

    |

  4. In the circuit shown, a four-wire potentiometer is made of a 400 cm lo...

    Text Solution

    |

  5. In the figure shown, what is the current (in Ampere) drawn from the ba...

    Text Solution

    |

  6. A moving coil galvanometer has resistance 50 Omega and it indicates fu...

    Text Solution

    |

  7. A write of resistance R is bent to form a square ABCD as shown in the ...

    Text Solution

    |

  8. If in a conductor number density of electrons is 8.5xx10^(28) average ...

    Text Solution

    |

  9. A uniform wire of resistance =3Omega and length l is stretched to doub...

    Text Solution

    |

  10. The resistance of a galvanometer is 50 ohm and the maximum current whi...

    Text Solution

    |

  11. Space between tow concentric spheres of radii r(1) and r(2) such that ...

    Text Solution

    |

  12. In an experiment, the resistance of a material is plotted as a functio...

    Text Solution

    |

  13. A current of 5 A of passes through a copper conductor (resistivity =1....

    Text Solution

    |

  14. A moving coil galvanometer allows a full scale current of 10^(-4) A. A...

    Text Solution

    |

  15. In the given circuit, an ideal voltmeter connected across the 10 Omega...

    Text Solution

    |

  16. In a meter bridge experiment, the circuit diagram and the correspondin...

    Text Solution

    |

  17. A moving coil galvanometer, having a resistance G, produces full scale...

    Text Solution

    |

  18. A galvanometer of resistance 100Omega has 50 divisions on its scale a...

    Text Solution

    |

  19. To verify Ohm's law, a student connects the voltmeter across the batte...

    Text Solution

    |

  20. The resistive network shown below is connected to a D.C. source of 16V...

    Text Solution

    |