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An ac-circuit having supply voltage E consists of a resistor of resistance 3W and an inductor of reactance 4W as shown in the figure. The voltage across the inductor at t = p/w is
                
  • a)
    2 volts 
  • b)
    10 volts
  • c)
    zero
  • d)
    4.8 volts
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
An ac-circuit having supply voltage E consists of a resistor of resist...
Here,
XL = 4 Ω
R = 3 Ω
Z = √(XL2 + R2)=√(42 + 32)
  = 5 Ω
E0 = 10 V
In the LR circuit current in the ckt is given by
I = (E0/Z)sin(ωt - Φ)
Φ = tan-1(XL/R)
=>  Φ = tan-1(4/3)
I = (E0/Z)sin(ωt - Φ)
  = (10/5) sin(ωt - Φ)
I at t = T/2
  = 2sin(ωT/2 – Φ)
 =  2sin(π - Φ)
  = 2sin(tan-1(4/3))
  = 2×0.8
  = 1.6 A
Potential difference across the resistor = 1.6×R
   = 1.6×3
   = 4.8 V
Potential difference across the inductor = 1.6XL
      = 1.6×4 = 6.4 V
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Most Upvoted Answer
An ac-circuit having supply voltage E consists of a resistor of resist...
Hey buddy...hope it helps
Here,

XL = 4 Ω

R = 3 Ω

Z = √(XL2 + R2)=√(42 + 32)

 = 5 Ω

E0 = 10 V

In the LR circuit current in the ckt is given by

I = (E0/Z)sin(ωt - Φ)

Φ = tan-1(XL/R)

=>  Φ = tan-1(4/3)

I = (E0/Z)sin(ωt - Φ)

 = (10/5) sin(ωt - Φ)

I at t = T/2

 = 2sin(ωT/2 – Φ)

=  2sin(π - Φ)

 = 2sin(tan-1(4/3))

 = 2×0.8

 = 1.6 A

Potential difference across the resistor = 1.6×R

  = 1.6×3

  = 4.8 V

Potential difference across the inductor = 1.6XL

     = 1.6×4 = 6.4 V
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Community Answer
An ac-circuit having supply voltage E consists of a resistor of resist...
Here,
XL = 4 Ω
R = 3 Ω
Z = √(XL2 + R2)=√(42 + 32)
  = 5 Ω
E0 = 10 V
In the LR circuit current in the ckt is given by
I = (E0/Z)sin(ωt - Φ)
Φ = tan-1(XL/R)
=>  Φ = tan-1(4/3)
I = (E0/Z)sin(ωt - Φ)
  = (10/5) sin(ωt - Φ)
I at t = T/2
  = 2sin(ωT/2 – Φ)
 =  2sin(π - Φ)
  = 2sin(tan-1(4/3))
  = 2×0.8
  = 1.6 A
Potential difference across the resistor = 1.6×R
   = 1.6×3
   = 4.8 V
Potential difference across the inductor = 1.6XL
      = 1.6×4 = 6.4 V
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Read the following text and answer the following questions on the basis of the same:Types of resistors Most common type of resistor is Carbon Composition Resistors. Carbon resistors are a cheap, general purpose resistor used in electrical and electronic circuits. Their resistive element is manufactured from a mixture of finely ground carbon dust or graphite and a non-conducting ceramic powder to bind it all together. The ratio of carbon dust to ceramic (conductor to insulator) determines the resistive value of the resistor. Higher the ratio of carbon, lower the overall resistance. Film Type Resistors consist of Metal Film, Carbon Film and Metal Oxide Film .Such resistors are generally made by depositing pure metals, such as nickel, or an oxide film, such as tin-oxide, on an insulating ceramic rod or substrate. The resistive value of the resistor is controlled by increasing the desired thickness of the deposited film giving them the names of either “thick-film resistors” or “thin-film resistors”. Film type resistors can achieve much higher ohmic value compared to other types. Another type of resistor, called a Wirewound Resistor, is made by winding a thin metal alloy wire (Nichrom e) or similar wire on an insulating ceramic former in the form of a spiral helix. These types of resistors are generally only available in very low ohmic value with high precision . They are able to handle much higher electrical currents than other resistors of the same ohmic value with much excessive power ratings. These high power resistors are moulded into an aluminium heat sink body with fins attached to increase their overall surface area to promote heat loss and cooling.In carbon composition resistors, ______ the ratio of carbon, _____ the overall resistance.

An ac-circuit having supply voltage E consists of a resistor of resistance 3W and an inductor of reactance 4W as shown in the figure. The voltage across the inductor at t = p/w is a)2 voltsb)10 voltsc)zerod)4.8 voltsCorrect answer is option 'D'. Can you explain this answer?
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An ac-circuit having supply voltage E consists of a resistor of resistance 3W and an inductor of reactance 4W as shown in the figure. The voltage across the inductor at t = p/w is a)2 voltsb)10 voltsc)zerod)4.8 voltsCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about An ac-circuit having supply voltage E consists of a resistor of resistance 3W and an inductor of reactance 4W as shown in the figure. The voltage across the inductor at t = p/w is a)2 voltsb)10 voltsc)zerod)4.8 voltsCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ac-circuit having supply voltage E consists of a resistor of resistance 3W and an inductor of reactance 4W as shown in the figure. The voltage across the inductor at t = p/w is a)2 voltsb)10 voltsc)zerod)4.8 voltsCorrect answer is option 'D'. Can you explain this answer?.
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