The current in a direct current resistor inductor circuit is given by:
i(t) = (-ℰ/R)e^{-Rt/L} + ℰ/R
Where i(t) is the current, t is time, ℰ is the battery's terminal voltage, R is the resistor's resistance, and L is the inductor's inductance.
Given values:
ℰ = 5.6V
R = 100Ω
L = 4.1×10⁻²H
Plug in the values to get i(t):
i(t) = -0.056e^{-2440t} + 0.056
We want to calculate when the current is 0.012A, i.e. find a time t when i(t) = 0.012A. So let us set i(t) equal to 0.012 and solve for t:
-0.056e^{-2440t} + 0.056 = 0.012
0.056e^{-2440t} = 0.044
e^{-2440t} = 0.786
-2440t = ㏑(0.786)
t = -㏑(0.786)/2440
t = 9.87×10⁻⁵s
Answer:
The distance from the pivot point that the small child will sit in order to maintain the balance is 1.8 m
Explanation:
Given;
mass of the bigger child, M = 30 kg
mass of the smaller child, m = 20 kg
distance between the two children, d = 3 m
This information can be represented diagrammatically;
3m
|<------------------------------------------------>|
----------------------------------------------------------------------------
↓ x Δ 3-x ↓
20kg 30kg
x is the distance from the pivot point that the small child will sit in order to maintain the balance
Take moment about the pivot;
Clockwise moment = anticlockwise moment
30(3-x) = 20x
90 -30x = 20x
90 = 20x + 30x
90 = 50x
x = 90 / 50
x = 1.8 m
Therefore, the distance from the pivot point that the small child will sit in order to maintain the balance is 1.8 m
Any object that is spherical in shape would best represent a true scale model of the shape of the Earth. Examples are ping pong balls, billiard balls, marble and other smooth spherical objects. The shape of the Earth is called the oblate spheroid. The "oblate" would refer to an oblong shape and "spheroid" would refer to an almost spherical shape. The earth has on almost spherical shape and has a slightly oblong appearance. The diameter from the South pole to the north pole was measured to have a value of 12714 km while the diameter of the equator is approximately 12756 km. As you can see, the values are not equal. This makes the earth not a perfect sphere.
Wavelength....................................:)
Answer:
sine the resistors are connected in series, we could add the sum and that single value replaces the individual resistors in series. therefore, 100ohm resistor can do.
