Question

Q6. The equation of 50 Hz current sine wave having
rms value of 60A is
(A) 60 Sin 25t
(B) 60 Sin 50t
(C) 84.84 Sin 3141
(D) 42.42 Sin 3141​

Answer 1

Answer:

This implies that

x2+2ax=4x−4a−13

or

x2+2ax−4x+4a+13=0

or

x2+(2a−4)x+(4a+13)=0

Since the equation has just one solution instead of the usual two distinct solutions, then the two solutions must be same i.e. discriminant = 0.

Hence we get that

(2a−4)2=4⋅1⋅(4a+13)

or

4a2−16a+16=16a+52

or

4a2−32a−36=0

or

a2−8a−9=0

or

(a−9)(a+1)=0

So the values of a are −1 and 9.

Answer 2

Answer:

Concept :

A group of methods known as circuit theory are used to explain how energy moves around an electrical loop. The theory is made up of a variety of laws, notions, and definitions. These include Kirchhoff's law and Ohm's law, which outline the connection between resistance, voltage, and current.

Explanation:

• A mathematical curve defined in terms of the sine trigonometric function, of which it is the graph, is known as a sine wave, sinusoidal wave, or simply sinusoid.
• It is a smooth periodic function and a particular kind of continuous wave. It frequently happens in physics, engineering, signal processing, and many other disciplines in addition to mathematics.
• The answer is 84.84 Sin 3141

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