Inductor

Q. An ideal inductor of inductance L, is connected to an AC source, having peak current I₀. The value of voltage of the source at the instant when the current is at its peak value is (ω is the angular frequency of ac source)

L प्रेरकत्व के एक आदर्श प्रेरक को एक AC स्त्रोत से संयोजित किया जाता है जिसमें शिखर धारा I₀ है। जब धारा अपने शिखर मान पर है, तब इस क्षण पर स्त्रोत की वोल्टता का मान है (ac स्त्रोत की कोणीय आवृत्ति ω है)

1. I₀ωL
2. $\frac{I_0}{\omega L}$
3. $\frac{I_0\omega L}{\sqrt{2}}$
4. Zero
   
   शून्य

Q. An ideal choke takes a current of $10\text{A}$ when connected to an ac supply of $125\text{V}$ and $50\text{Hz}$. A pure resistor under the same conditions takes a current of $12.5\text{A}$. If the two are connected to an $\text{AC}$ supply of $100\text{V}$ and $40\text{Hz}$, then the current in a series combination of the above resistor and inductor is

1. $5\sqrt{2}A$
2. $12.5A$
3. $20A$
4. $10A$

Q.

This section contains 1 Assertion-Reason type question, which has 4 choices (a), (b), (c) and (d) out of which ONLY ONE is correct.
इस खण्ड में 1 कथन-कारण प्रकार का प्रश्न है, जिसमें 4 विकल्प (a), (b), (c) तथा (d) दिये गये हैं, जिनमें से केवल एक सही है।

A : For a series LCR AC circuit, if inductance is increased by a factor of four, keeping capacitance constant, then the resonant angular frequency becomes twice of its initial value.
A : एक श्रेणी LCR AC परिपथ के लिए, यदि धारिता को नियत रखते हुए प्रेरकत्व को चार गुना बढ़ाया जाता है, तब अनुनादी कोणीय आवृत्ति अपने प्रारम्भिक मान की दोगुनी हो जाती है।

R : For a series LCR AC circuit resonant angular frequency is given by ω_resonant = $\frac{1}{\sqrt{LC}}$.
R : एक श्रेणी LCR AC परिपथ के लिए, अनुनादी कोणीय आवृत्ति को ω_{अनुनादी} = $\frac{1}{\sqrt{LC}}$ द्वारा व्यक्त किया जाता है।

1. Both (A) and (R) are true and (R) is the correct explanation of (A)
   
   (A) तथा (R) दोनों सही हैं तथा (R), (A) का सही स्पष्टीकरण है
2. Both (A) and (R) are true but (R) is not the correct explanation of (A)
   
   (A) तथा (R) दोनों सही हैं लेकिन (R), (A) का सही स्पष्टीकरण नहीं है
3. (A) is true but (R) is false
   
   (A) सही है लेकिन (R) गलत है
4. (A) is false but (R) is true
   
   (A) गलत है लेकिन (R) सही है

Q. An ideal choke takes a current of $10\text{A}$ when connected to an ac supply of $125\text{V}$ and $50\text{Hz}$. A pure resistor under the same conditions takes a current of $12.5\text{A}$. If the two are connected to an $\text{AC}$ supply of $100\text{V}$ and $40\text{Hz}$, then the current in a series combination of the above resistor and inductor is

1. $5\sqrt{2}A$
2. $12.5A$
3. $20A$
4. $10A$

Q. An LCR circuit contains resistance of $110\Omega$ and a supply of $220\text{V}$ at $300\text{rad/s}$ angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by ${45}^{\circ }$. If on the other hand, only inductor is removed the current leads by ${45}^{\circ }$ with the applied voltage. The rms current flowing in the circuit will be:

1. $2.5\text{A}$
2. $1\text{A}$
3. $2\text{A}$
4. $1.5\text{A}$

Q. An ideal choke takes a current of $10\text{A}$ when connected to an ac supply of $125\text{V}$ and $50\text{Hz}$. A pure resistor under the same conditions takes a current of $12.5\text{A}$. If the two are connected to an $\text{AC}$ supply of $100\text{V}$ and $40\text{Hz}$, then the current in a series combination of the above resistor and inductor is

1. $5\sqrt{2}A$
2. $12.5A$
3. $20A$
4. $10A$

Q. An LCR circuit contains resistance of $110\Omega$ and a supply of $220\text{V}$ at $300\text{rad/s}$ angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by ${45}^{\circ }$. If on the other hand, only inductor is removed the current leads by ${45}^{\circ }$ with the applied voltage. The rms current flowing in the circuit will be:

1. $2.5\text{A}$
2. $2\text{A}$
3. $1.5\text{A}$
4. $1\text{A}$

Q. A 200 V, 100 Watt bulb is to be used across an A.C source of peak voltage 400 V and an angular frequency of ${10}^3$ rad/s. The inductance of a choke coil to be used in series with the bulb so that the bulb won't blow off is

Q. A 200 V, 100 Watt bulb is to be used across an A.C source of peak voltage 400 V and an angular frequency of ${10}^3$ rad/s. The inductance of a choke coil to be used in series with the bulb so that the bulb won't blow off is