Physics-
General
Easy

Question

For ensuring dissipation of same energy in all three resistors left parenthesis R subscript 1 end subscript comma R subscript 2 end subscript comma R subscript 3 end subscript right parenthesis connected as shown in figure, their values must be related as

  1. R subscript 1 end subscript equals R subscript 2 end subscript equals R subscript 3 end subscript    
  2. R subscript 2 end subscript equals R subscript 3 end subscriptand R subscript 1 end subscript equals 4 R subscript 2 end subscript    
  3. R subscript 2 end subscript equals R subscript 3 end subscriptand R subscript 1 end subscript equals fraction numerator 1 over denominator 4 end fraction R subscript 2 end subscript    
  4. R subscript 1 end subscript equals R subscript 2 end subscript plus R subscript 3 end subscript    

The correct answer is: R subscript 2 end subscript equals R subscript 3 end subscriptand R subscript 1 end subscript equals fraction numerator 1 over denominator 4 end fraction R subscript 2 end subscript


    As the voltage in R subscript 2 end subscriptand R subscript 3 end subscriptis same therefore, according to,
    H equals fraction numerator V to the power of 2 end exponent over denominator R end fraction. t comma R subscript 2 end subscript equals R subscript 3 end subscript
    Also the energy in all resistance is same.
    \ i to the power of 2 end exponent R subscript 1 end subscript t equals i subscript 1 end subscript superscript 2 end superscript R subscript 2 end subscript t
    Using i subscript 1 end subscript equals fraction numerator R subscript 3 end subscript over denominator R subscript 2 end subscript plus R subscript 3 end subscript end fraction i equals fraction numerator R subscript 3 end subscript over denominator R subscript 3 end subscript plus R subscript 3 end subscript end fraction i equals fraction numerator 1 over denominator 2 end fraction i
    Thus i to the power of 2 end exponent R subscript 1 end subscript t equals fraction numerator i to the power of 2 end exponent over denominator 4 end fraction R subscript 2 end subscript t or, R subscript 1 end subscript equals fraction numerator R subscript 2 end subscript over denominator 4 end fraction

    Related Questions to study

    General
    Physics-

    In the following circuit, 5 W resistor develops 45 J/s due to current flowing through it. The power developed per second across 12 W resistor is

    In the following circuit, 5 W resistor develops 45 J/s due to current flowing through it. The power developed per second across 12 W resistor is

    Physics-General
    General
    Physics-

    In a Ag voltameter 2.68 gm of silver is deposited in 10 min. The heat developed in 20 capital omega resistor during the same period will be

    In a Ag voltameter 2.68 gm of silver is deposited in 10 min. The heat developed in 20 capital omega resistor during the same period will be

    Physics-General
    General
    Physics-

    Three wires of copper, iron and nickel are joined to form three junctions as shown in Fig. When the temperature of junction 1 is kept 5 0 to the power of o end exponent C with the other two junctions at 0 to the power of o end exponent C, the sensitive galvanometer gives a deflection of 14 divisions. When the temperature of junction 3 is kept 5 0 to the power of o end exponent C comma with the other two junctions at 0 to the power of o end exponent C comma the galvanometer gives a deflection of 11 divisions. Then the deflection given by the galvanometer, when temperature of the junction 2 is kept at 5 0 to the power of o end exponent C comma with the other two junctions at 0 to the power of o end exponent C comma will be

    Three wires of copper, iron and nickel are joined to form three junctions as shown in Fig. When the temperature of junction 1 is kept 5 0 to the power of o end exponent C with the other two junctions at 0 to the power of o end exponent C, the sensitive galvanometer gives a deflection of 14 divisions. When the temperature of junction 3 is kept 5 0 to the power of o end exponent C comma with the other two junctions at 0 to the power of o end exponent C comma the galvanometer gives a deflection of 11 divisions. Then the deflection given by the galvanometer, when temperature of the junction 2 is kept at 5 0 to the power of o end exponent C comma with the other two junctions at 0 to the power of o end exponent C comma will be

    Physics-General
    parallel
    General
    Physics-

    If 1 A of current is passed through C u S O subscript 4 end subscript solution for 10 seconds, then the number of copper ions deposited at the cathode will be about

    If 1 A of current is passed through C u S O subscript 4 end subscript solution for 10 seconds, then the number of copper ions deposited at the cathode will be about

    Physics-General
    General
    Physics-

    The three resistance of equal value are arranged in the different combinations shown below. Arrange them in increasing order of power dissipation
    I.
    II.
    III.
    IV. 

    The three resistance of equal value are arranged in the different combinations shown below. Arrange them in increasing order of power dissipation
    I.
    II.
    III.
    IV. 

    Physics-General
    General
    Physics-

    A 100 W bulb B1, and two 60-W bulbs B2 and B3, are connected to a 250 V source, as shown in the figure. Now W1, W2 and W3 are the output powers of the bulbs B1, B2 and B3, respectively. Then

    A 100 W bulb B1, and two 60-W bulbs B2 and B3, are connected to a 250 V source, as shown in the figure. Now W1, W2 and W3 are the output powers of the bulbs B1, B2 and B3, respectively. Then

    Physics-General
    parallel
    General
    Physics-

    Four identical electrical lamps are labelled 1.5V, 0.5A which describes the condition necessary for them to operate at normal brightness. A 12V battery of negligible internal resistance is connected to lamps as shown, then

    Four identical electrical lamps are labelled 1.5V, 0.5A which describes the condition necessary for them to operate at normal brightness. A 12V battery of negligible internal resistance is connected to lamps as shown, then

    Physics-General
    General
    Physics-

    In the circuit as shown in the figure, the heat produced by 6 ohm resistance due to current flowing in it is 60 calorie per second. The heat generated across 3 ohm resistance per second will be

    In the circuit as shown in the figure, the heat produced by 6 ohm resistance due to current flowing in it is 60 calorie per second. The heat generated across 3 ohm resistance per second will be

    Physics-General
    General
    Physics-

    In the circuit shown in figure, the heat produced in 5 ohm resistance is 10 calories per second. The heat produced in 4 resistance is

    In the circuit shown in figure, the heat produced in 5 ohm resistance is 10 calories per second. The heat produced in 4 resistance is

    Physics-General
    parallel
    General
    Maths-

    Consider the system of equations blank x plus a y equals 0 comma blank y plus a z equals 0. Then the set of a text ll real  end textvalues of ‘a’ for which the system has a unique solution is

    Consider the system of equations blank x plus a y equals 0 comma blank y plus a z equals 0. Then the set of a text ll real  end textvalues of ‘a’ for which the system has a unique solution is

    Maths-General
    General
    Maths-

    If A to the power of negative 1 end exponent equals fraction numerator 1 over denominator 3 end fraction blank open square brackets table row 1 4 cell negative 2 end cell row cell negative 2 end cell cell negative 5 end cell 4 row 1 cell negative 2 end cell 1 end table close square brackets blankand open vertical bar A close vertical bar equals 3 blankthen Adj A=

    If A to the power of negative 1 end exponent equals fraction numerator 1 over denominator 3 end fraction blank open square brackets table row 1 4 cell negative 2 end cell row cell negative 2 end cell cell negative 5 end cell 4 row 1 cell negative 2 end cell 1 end table close square brackets blankand open vertical bar A close vertical bar equals 3 blankthen Adj A=

    Maths-General
    General
    Maths-

    If A is a square matrix such that A (Adj A)equals open square brackets table row 4 0 0 row 0 4 0 row 0 0 4 end table close square brackets blankthenblank open vertical bar A d j A close vertical bar

    If A is a square matrix such that A (Adj A)equals open square brackets table row 4 0 0 row 0 4 0 row 0 0 4 end table close square brackets blankthenblank open vertical bar A d j A close vertical bar

    Maths-General
    parallel
    General
    Physics-

    The cold junction of a thermocouple is maintained at 10 degree C. No thermo e.m.f. is developed when the hot junction is maintained at 530 degree C. The neutral temperature is

    The cold junction of a thermocouple is maintained at 10 degree C. No thermo e.m.f. is developed when the hot junction is maintained at 530 degree C. The neutral temperature is

    Physics-General
    General
    Physics-

    For a given temperature difference, which of the following pairs will generate maximum thermo e.m.f.

    For a given temperature difference, which of the following pairs will generate maximum thermo e.m.f.

    Physics-General
    General
    Physics-

    Which of the following statement is correct

    Which of the following statement is correct

    Physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.