An inductor of inductance L= 400mH and resistors R1=2Ω and R2=2Ω are connected to a battery of EMF 12V . The internal resistance of the battery is negligible. The switch S is closed at t=0. The potential drop across L as a function of time is?

The voltage across the inductor in a circuit is directly proportional to the rate of flow of current through the inductor.

For this firstly calculate the current flowing through the branch containing L and R2. Then differentiate current I with respect to time t.

Given: L = 400mH

R1 = 2Ω

R2 = 2Ω

E = 12V

In the branch containing L and R2, I = E/R₂ 1−e^−R2t/L

Differentiating I with respect to t:

dI/dt = ER2e^−R2t/L. R2/L

= E/Le^−R2t/L

Therefore, VL = L dI/dt = Ee^−R2t/L

= 12^e−5tV

Then the potential drop across L as a function of time is 12^e−5tV.

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An inductor of inductance L= 400mH and resistors R1=2\(\Omega\) and R2=2\(\Omega\) are connected to a battery of EMF 12V . The internal resistance of the battery is negligible. The switch S is closed at t=0. The potential drop across L as a function of tim

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If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

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Assertion (A) : The mass of a nucleus is less than the sum of the masses of the constituent nucleons. Reason (R) : Energy is absorbed when the nucleons are bound together to form a nucleus.

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An inductor of inductance L= 400mH and resistors R1=2\(\Omega\) and R2=2\(\Omega\) are connected to a battery of EMF 12V . The internal resistance of the battery is negligible. The switch S is closed at t=0. The potential drop across L as a function of tim

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2. Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

3. If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

4.Assertion (A) : The mass of a nucleus is less than the sum of the masses of the constituent nucleons. Reason (R) : Energy is absorbed when the nucleons are bound together to form a nucleus.

5. Write any two features of nuclear forces.

6.What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

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Write any two features of nuclear forces.

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