[Einstein Uae]

بسم الله الرحمن الرحيم

السلام عليكم ورحمة الله وبركاته


الحمدلله والصلاة والسلام على رسول الله وعلى آله وصحبه أجمعين


كيف حالكم جميعا إن شاء الله مرتاحين وطيبين ... عسى مديم هالحال يا رب ..

عندي سؤال يا جماعة الخير بخـصوص Induced Emf و اللي عنده أي خلفيه بالموضوع أو خبره رجاءا لا يبخل عليه ....

أنا تقريبا حليت 90 % من السؤال بس اللي بغيته منكم إنكم تتأكدون من خطوات حلي هل هي صحيحه أم لااااء ...


A 3 m long large coil with a radius of 15.7 cm and 130 turns surrounds a 7.2 m long solenoid with a radius of 5.7 cm and 4700 turns. The current in the solenoid changes as I = I_0*Sin(2πft) where I_0 = 30 A and f = 60 Hz.Inside solenoid has 4700 turns and outside coil has 130 turns. The equation for the emf is E = E_0*Sin ωt .There is also a resistor on the smaller coil that is 34 ohms. Find the maximum induced emf in the large coil. Answer in units of V.



the relevant equations that i have:
Faraday's law of induction

emf = - N (dφ/dt)

Magnetic field of solenoid
B = ( μ_0 * I * N ) / L


I will show my work done till now.If there is any mistake i made or step i forgot please tell me.

First i have to find the magnetic field of the inner solenoid.

Then i have to calculate the flux of the inner solenoid.

After that i have to use the magnetic field of inner solenoid to find the flux of outer solenoid.

Now i have to find the change in flux but the question here is , Do i have to subtract the inner from the outer or the opposite ???

Is φ_outer - φ_Inner ??? correct

Or φ_Inner - φ_outer ???


Now i know that i have to derive the flux change with respect to time but another question is here , shall i subtract the two fluxe first then derive the change or shall i derive them before subtraction ??? ( I think that i will get the same answer whatever choice i select )

After i get the answer ( which i hope to get it very soon ) i will just multiply the whole thing i mean the time rate of change of that flux with the number of turns for the outer solenoid .

Please check my steps & tell me if i did something wrong.

و السلام عليكم ورحمة الله وبركاته

[Einstein Uae]

بسم الله الرحمن الرحيم

السلام عليكم ورحمة الله وبركاته

لقد حللت السؤال والحمد الله يرجى غلق الموضوع ..