# Search results

1. ### I Why tan x=x as x approaches 0?

Hi! In one of my textbook i saw the relation tan(x) = x where x is very small value and expressed in radians. I want to know why its true and how it actually works. I would appreciate someone's help :smile:
2. ### Lorentz force and linear motors

I have a picture below please have a look at it. The guy is using two conducting rods placed parallel to each other and placed below it are magnets. When battey is connected to rods and a conductor is placed over them it starts to move.That works according to flemmings left hand rule. I was...
3. ### Derivative of -x using first principle

Homework Statement This is a silly question,but i have a problem.How do we solve derivative of -x using first principle of derivative. I know that if derivative of x w.r.t x is 1 then ofcourse that of -x should be -1. Also it can be solved by product rule taking derivative of -1.x . Homework...
4. ### How to find the derivative of this function

Homework Statement How do we find the derivative of function: y= √[(1-sinx)/(1+sinx)] This is the exercise problem from my textbook. I have not covered chain rule yet. So please you basic derivative rules to solve it. Homework Equations Here is the answer of derivative given in my textbook...
5. ### How does an opamp work as non-inverting amplifier

Homework Statement I am doing a little bit of research about op amps. What i know so far from the book it that op amp have a very large open loop gain. To reduce the gain to desired amount we need resistor which connect output to invering terminal(negative feedback). Homework...
6. ### Engineering Resultant magnetic flux in a 3-phase induction motor

Homework Statement I have some attachements below from my textbook. According to it the value of resultant flux is constant in magnitude and 1.5 times the maximum value of flux. But i have a doubt regarding how it is proved. The magnetic flux waveforms are 120° apart from each other and at...
7. ### Instantaneous current in stator of 3 phase IM

I am studying induction motors and i have equation for instantaneous value of current flowing in each phases.(please check to image below).I can see that its it the form Im.cosωt But isnt it supposed to be Im.sinωt ?because thats how we find all instantaneous parameters like voltage and...
8. ### What is significance of eulers number

Thread moved by mentor why is 'e' so important number. e^x is said to be natural language of growth. Why isnt 2^x a 100% growth.Can anyone explain me the difference between both of these and also bit more about number e which known as famous constant.please explain clearly. I will appreciate it.
9. ### Please explain this limit problem

Please explain the above limit problem.i am able to understand last steps but cant get initial 4 steps.
10. ### How does this simplification work?

Please check the image below. My algebra is bit rusty. Please explain the second step where the common factor is taken out.