Answer:
Explanation:
Before the dialectic was inserted the capacitor is Co
When the slab is inserted,
The capacitor becomes
C=kCo
The charge Q is given as
Q=CV
Then, when C=Co
Qo=CoV
Then, when C=kCo
Q=kCoV
Then, the change in charges is given as
Q-Qo= kCoV - CoV
∆Q= kCoV - CoV
Current is given as
I=dQ/dt
I= (kCoV - CoV) / dt
I=Co(kV-V)/dt
Note Co is the value capacitor
So, Capacitance of parallel plates capacitor is given as
Co=εoA/d
Then,
I=εoA(kV-V)/d•dt
I=VεoA(k-1)/d•dt
Where A=πr²
I = V•εo•πr²•(k-1) / d•dt
This is the required expression for current is in the required term
Reference frames describe the position of points relative to the body. These frames <span>are used to specify the relationship between a moving </span>observer and the phenomenon or phenomena under observation. Reference frame definitely changes when the body is changing. That is the reason that in order t<span>o describe the position of a point that moves relative to a body that is moving relative to the Earth, it is usually convenient to use a reference frame attached to the moving body.</span>
Answer:
(a) 104 N
(b) 52 N
Explanation:
Given Data
Angle of inclination of the ramp: 20°
F makes an angle of 30° with the ramp
The component of F parallel to the ramp is Fx = 90 N.
The component of F perpendicular to the ramp is Fy.
(a)
Let the +x-direction be up the incline and the +y-direction by the perpendicular to the surface of the incline.
Resolve F into its x-component from Pythagorean theorem:
Fx=Fcos30°
Solve for F:
F= Fx/cos30°
Substitute for Fx from given data:
Fx=90 N/cos30°
=104 N
(b) Resolve r into its y-component from Pythagorean theorem:
Fy = Fsin 30°
Substitute for F from part (a):
Fy = (104 N) (sin 30°)
= 52 N
Answer:
A) The magnitude of current is
2.59 A
B) The direction is clockwise
Explanation:
Please find the attached files for the solution
Lets make the original number of nuclides at the start is 100.
If 7/8 of 100 is decayed, that means 87.5 decayed.

And there is 1/8 left of the number of nuclide 100. Which is 12.5


How many Half lifes passed for 100 to become 12.5 is 3 Half-Lives.

Each Half-Life is 80 seconds so there is 240 seconds

The answer is that it takes 240 seconds.