Answer:
(a) E= 3.36×10−2 V +( 3.30×10−4 V/s3 )t3
(b) 
Explanation:
Given:
- radius if the coil,

- no. of turns in the coil,

- variation of the magnetic field in the coil,

- resistor connected to the coil,

(a)
we know, according to Faraday's Law:

where:
change in associated magnetic flux

where:
A= area enclosed by the coil
Here




So, emf:
![emf= 520\times \frac{d}{dt} [((1.2\times 10^{-2})t+(3.45\times 10^{-5})t^4)\times 0.0049]](https://tex.z-dn.net/?f=emf%3D%20520%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5B%28%281.2%5Ctimes%2010%5E%7B-2%7D%29t%2B%283.45%5Ctimes%2010%5E%7B-5%7D%29t%5E4%29%5Ctimes%200.0049%5D)
![emf= 520\times 0.0049\times \frac{d}{dt} [(1.2\times 10^{-2})t+(3.45\times 10^{-5})t^4)]](https://tex.z-dn.net/?f=emf%3D%20520%5Ctimes%200.0049%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5B%281.2%5Ctimes%2010%5E%7B-2%7D%29t%2B%283.45%5Ctimes%2010%5E%7B-5%7D%29t%5E4%29%5D)
![emf= 2.548\times [0.012+(13.8\times 10^{-5})t^3)]](https://tex.z-dn.net/?f=emf%3D%202.548%5Ctimes%20%5B0.012%2B%2813.8%5Ctimes%2010%5E%7B-5%7D%29t%5E3%29%5D)

(b)
Given:

Now, emf at given time:

∴Current



Answer:
I = 0.15 A
Explanation:
The question is "a lamp subjected to a continuous voltage of 12V , consumes a power of 1.8 W. The intensity of the current passing through the lamp is what"
Given that,
Power of the lamp, P = 1.8 W
Voltage, V = 12 V
We need to find the current through the lamp. The power of the lamp is given by :

So, the current through the lamp is 0.15 A.
Answer:
R^2 = 40^2 + 70^2 - 2(40)(70) cos 135°
Explanation:
The resultant connects the tail of the first vector to the head of the second vector (whose tail is at the head of the first vector). The three vectors form an obtuse triangle where the angle between the original direction and the second direction is 135°. The cosine factor in the Law of Cosines formula will be cos(135°), matching the second choice.
I think the correct answer would be processing time. The time of fifteen minutes describes how long the whole operation was done or how long is the whole processing of drilling. Hope this answers the question. Have a nice day.
Answer:
a.6533.333 N/m
b.Yes,the spring will be compressed more when the person hops down the road .
Explanation:
Mass of man=80 kg
Spring compressed by x=0.12 m
a.We have to find the force constant of the spring.
Spring constant=

Using the formula
Spring constant,
N/m
Spring constant=
b.The spring will be compressed more when the person hops down the road because when the person hops down then the kinetic energy of person will be converted into potential energy during the road hit.