Question

A resistance of 50 Ohms, an inductance of 2 henries are connected in series with a battery of 10 volts, then the integrating factor of the governing differential equation is ....​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The integrating factor of the governing differential equation is 2.5 amp/sec.

Given:
resistance = 50 ohms
Voltage = 10 volts
Inductance = 2 henries
To find: Integrating factor
Solution:

• An Inductor, otherwise known as a block, is another passive type energetic component involving a coil of cable planned to take advantage of this connection by encouraging a magnetic field of currents essentially or within allure gist on account of the current abounding through the wire coil.
• Forming a coil coil into an inductor results in a much more forceful magnetic field of currents than individual that would be caused by a natural coil of cable.
• Inductors are made with cable fixedly covered about a solid principal center that maybe either a straight cylindrical bar or an unending loop or ring to collect their attractive flux.
  
  Lets calculate it through simple steps,
  

        $i = i(1-e1)\\\frac{di}{dt} = \frac{i0 * r}{1} \\=\frac{E}{1} \\= 2.5 \frac{amp}{sec}$
Hence we get the integrating factor as 2.5 amp/sec.

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