Answer:
A) The resonance angular frequency in an L-R-C circuit is

B) The current can be found by calculating the impedance of the system.

Since
at resonance.
So, 
When the velocity increases, then the acceleration will be positive and when the velocity decrease then the acceleration will be negative.
During the first hour, the velocity was 70 mph and during the seconds hour the velocity was 60 mph. Hence, the velocity decrease in the seconds hour. So, the acceleration will be negative during the second hour.
Now, during the third hour the velocity increases as it is 80 mph. Hence, the acceleration will be positive during the third hour.
Explanation:
Distance = (intial speed)X(Time) + 1/2(acceleration)X(Time) [Third equation of motion]
As initial speed is zero, therefore;
Distance = 1/2(acceleration)X(Time)
= 1/2 (6 X 15)
= 1/2 (90)
= 45 meters
Hence, the object traveled 45 meters.
The radius of curvature of the proton's path while in the field is
×
.
b) Let R = radius curvature of protons path. Then,
relation b/w B, R, and v is: -


× 
Hence, the radius of curvature of the proton's path while in the field is
×
.
<h3>
What do you mean by Magnetic field?</h3>
The magnetic influence on moving electric charges, electric currents and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling through a magnetic field. The magnetic field of a permanent magnet pulls on ferromagnetic substances like iron and attracts or repels other magnets. A magnetic field that varies with location will also exert a force on a variety of non-magnetic materials by changing the velocity of those particles' outer electrons. Electric currents, like those utilized in electromagnets, and electric fields that change in time produce magnetic fields that surround magnetized things.
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