Home
Class 12
PHYSICS
Assertion : In parallel, current distrib...

Assertion : In parallel, current distributes in inverse ratio of inductance . `iprop1/L`
Reason : In electrical circuits, an inductor can be treated as a resistor.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given problem, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "In parallel, current distributes in inverse ratio of inductance." - When two or more inductors are connected in parallel, the voltage across each inductor is the same. According to the formula for inductors, the voltage \( V \) across an inductor is given by: \[ V = L \frac{di}{dt} \] - For two inductors \( L_1 \) and \( L_2 \) connected in parallel, we can write: \[ V = L_1 \frac{di_1}{dt} = L_2 \frac{di_2}{dt} \] - Since the voltages are equal, we can equate the two expressions: \[ L_1 \frac{di_1}{dt} = L_2 \frac{di_2}{dt} \] - Rearranging gives us: \[ \frac{L_1}{L_2} = \frac{di_2}{di_1} \] - This shows that the current through each inductor is inversely proportional to its inductance. Therefore, the assertion is **true**. ### Step 2: Analyze the Reason The reason states that "In electrical circuits, an inductor can be treated as a resistor." - This statement is **false**. An inductor and a resistor have fundamentally different properties. - An inductor stores energy in the form of a magnetic field when current flows through it, while a resistor dissipates energy as heat. - Additionally, an inductor opposes changes in current due to its inductance, which is not a property of resistors. Therefore, the reason is **false**. ### Conclusion - The assertion is true, while the reason is false. Thus, the correct answer is that the assertion is true and the reason is false. ### Final Answer Assertion is true; Reason is false. ---
To solve the given problem, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states that "In parallel, current distributes in inverse ratio of inductance." - When two or more inductors are connected in parallel, the voltage across each inductor is the same. According to the formula for inductors, the voltage \( V \) across an inductor is given by: \[ V = L \frac{di}{dt} ...
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    DC PANDEY ENGLISH|Exercise Level 1 Objective|36 Videos

  • ELECTROMAGNETIC INDUCTION

    DC PANDEY ENGLISH|Exercise Objective Questions|3 Videos

  • ELECTROMAGNETIC INDUCTION

    DC PANDEY ENGLISH|Exercise Exercise 27.7|2 Videos

  • CURRENT ELECTRICITY

    DC PANDEY ENGLISH|Exercise Medical entrances gallery|97 Videos

  • ELECTROMAGNETIC WAVES

    DC PANDEY ENGLISH|Exercise Sec C|22 Videos

Similar Questions

Explore conceptually related problems

Assertion If two inductors are in paralled, then current in distributes in inverse ratio of their inductance. Reason In parallel, potential difference remains constant.

In an electric circuit shown alongside, find current in resistor 1Omega

In series, potential difference distributes in direct ratio of resistance and in parallel current is distributed in inverse ratio of resistance Ratio of current through R, 6R and 3R will be

In series, potential difference distributes in direct ratio of resistance and in parallel current is distributed in inverse ratio of resistance In the circuit shown in figure

Assertion : In series L-C-R, AC circuit, current and voltage are in same phase at resonance. Reason : In series L-C-R, AC circuit, resonant frequency does not depend on the value of resistance. Hence, current at resonance does not depend on resistance.

Assertion: In the circuit in figure, time constant of charging of capacitor is s (CR)/2 Reason: In the absence of capcitor in the circuit, two resistors are in parallel with the battery.

Assertion : In series L-C-R circuit, if a ferromagnetic rod is inserted inside an inductor, current in the circuit may increase or decrease. Reason : By doing so X_L will increase.

(a) With the help of a suitable circuit diagram prove that the reciprocal of the equivalent resistance of a group of resistances joined in parallel is equal to the sum of the reciprocals of the individual resistances. (b) In an electric circuit two resistors of 12 Omega each are joined in parallel to a 6V battery. Find the current drawn from the battery.

Assertion: Inductive reactance of an inductor in DC circuit is zero. Reason: Angular frequency of DC circuit is zero.

Consider the RL circuit in Fig. When the switch is closed in position 1 and opens in position 2 , electrical work must be performed on the inductor and on the resistor. The energy stored in the inductor is for the resistor energy appears as heat. a. What is the ratio of P_(L)//P_(R ) of the rate at which energy is stored in the inductor to the rate at which energy is dissipated in the resistor? b. Express the ratio P_(L)//P_(R ) as a function of time. c. If the time constant of circuit is t , what is the time at which P_(L) = P_(R ) ?