Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

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

$R_{1} = R_{2} = R_{3}$
$R_{2} = R_{3}$ and $R_{1} = 4 R_{2}$
$R_{2} = R_{3}$ and $R_{1} = \frac{1}{4} R_{2}$
$R_{1} = R_{2} + R_{3}$

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

As the voltage in $R subscript 2 end subscript$ and $R subscript 3 end subscript$ is 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

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

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

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

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

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

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

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

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

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

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 $text ll real end text$ values 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 $text ll real end text$ values of ‘a’ for which the system has a unique solution is

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

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

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

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

parallel

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

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

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.