Home
Class 12
PHYSICS
For two resistors R(1)andR(2), connected...

For two resistors `R_(1)andR_(2)`, connected in parallel, find the relative error in their equivalent resistance, if `R_(1)=(50pm2)OmegaandR_(2)=(100pm3)Omega`.

Text Solution

Verified by Experts

`R_"eq"=(R_1R_2)/(R_1+R_2)=33.33 Omega` and `1/R_"eq"=1/R_1+1/R_2` we have `(DeltaR_"eq")/(R_"eq"^2)=(DeltaR_1)/(R_1^2)+(DeltaR_2)/(R_2^2)`
`rArr (DeltaR_"eq")/R_(eq)=((DeltaR_1)/(R_1^2)+(DeltaR_2)/(R_2^2))R_"eq"` or 0.036
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION A Objective (One option is correct )|50 Videos

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION B Objective (One option is correct )|45 Videos

  • UNITS AND MEASUREMENTS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - D)|15 Videos

  • THERMODYNAMICS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION -D) (Assertion - Reason Type Questions)|10 Videos

  • WAVE OPTICS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-J (Aakash Challengers question))|1 Videos

Similar Questions

Explore conceptually related problems

For two resistors R_1 and R_2 , connected in parallel, find the relative error in their equivalent resistance. if R_1=(50 pm2)Omega and R_2=(100 pm 3) Omega .

When two resistors of (600pm3) ohm and (300pm 6) ohm are connected in parallel, value of the equivalent resistance is

These resistors of 10Omega,15Omega and 5Omega are connected in parallel. Find their equivalent resistance.

Two resistors having resistance 4 Omega and 6 Omega are connected in parallel. Find their equivalent resistance.

Two resistor R_(1) = (24 +- 0.5)Omega and R_(2) = (8 +- 0.3)Omega are joined in series, The equivalent resistence is

Two resistor of resistance R_(1)=(6+-0.09)Omega and R_(2)=(3+-0.09)Omega are connected in parallel the equivalent resistance R with error (in Omega)

A combination of two resisters R_(1) and R_(4) are placed in an electrical circuit. In an experimental arrangement, the resistance are measured as R_(1)=(100 pm 3)Omega , R_(2)=(200 pm 4)Omega The equivalent resistance, when they are connected in parallel, (1)/(R_(P))=(1)/(R_(1))+(1)/(R_(2)) can be expressed as

Three resistors of 2 Omega , 3 Omega and 4 Omega are connected in parallel. Draw the arrangement and find the equivalent resistance in each case.

Figure (A) and (B) show two resistors with resistances R_(1) and R_(2) connected in parallel and in series. The battery has a terminal voltage of e. Suppose R_(1) and R_(2) are connected in parallel . (a) Find the power delivered to each resistor. (b) Show that the power used by each resistor is equal to the power supplied by the battery . Suppose R_(1) and R_(2) are now connected in series (c ) Find teh power delivered to each resistor. (d) Show that the sum of the power by each resistor is equal to the power supplied by the battery. (e ) Which configuration , parallelor series, uses more power ?

In a Wheatstone bridge, three resistance, P, Q and R are connected in the three arms and fourth arm is formed by two resistance s_(1) and s_(2) connected in parallel. The condition for the bridge to be balanced for ratio ((p)/(Q)) is (given R=10Omega, S_(1)=6Omega, S_(2)=3Omega )

AAKASH INSTITUTE ENGLISH-UNITS AND MEASUREMENTS-Try Yourself
  1. The measured mass and volume of a body are 2.00 g and 5.0 cm^(3) respe...

    Text Solution

    |

  2. A Physical quantity P is given by P=(A^2sqrtB)/C, and the percentage e...

    Text Solution

    |

  3. For two resistors R(1)andR(2), connected in parallel, find the relativ...

    Text Solution

    |

  4. How many significant figures are there in the value 250xx10^10 m?

    Text Solution

    |

  5. How many zeroes are significant in the following measured values? (i...

    Text Solution

    |

  6. A force of 8.26 N is applied normally over an area of 4.2 m^2. Calcula...

    Text Solution

    |

  7. The voltage across a lamp is 6.82 V when the current passing through i...

    Text Solution

    |

  8. Each side of a cube is measured to be 7.241 m. Find its total surface ...

    Text Solution

    |

  9. A substance having mass 5.74 g occupies a volume of 1.2cm^3. Caluclate...

    Text Solution

    |

  10. Round off the number 970.02 to one decimal place.

    Text Solution

    |

  11. Two sticks of lengths 12.132 cm and 10.2 cm are placed end to end. Fin...

    Text Solution

    |

  12. Find the dimensions for electric power.

    Text Solution

    |

  13. Dimensions of relative density is

    Text Solution

    |

  14. Check the dimensional consistency of the equation, force = "(Change in...

    Text Solution

    |

  15. Check the dimensional correctness of the following relation. Volume...

    Text Solution

    |

  16. Total mechanical energy E of an object of mass m, at a height h above ...

    Text Solution

    |

  17. The time period Of oscillation of a simple pendulum depends on the fol...

    Text Solution

    |

  18. How are the wavelength and frequency of a sound wave related to its sp...

    Text Solution

    |

  19. Pick up the dimensionless quantities among the following: (i) Power...

    Text Solution

    |

  20. If two quantities have same dimensions, do they represent same physica...

    Text Solution

    |