Answer:
a average load current = 11.33 A
b rms load current = 8.02A
c true power =962.64 W
d apparent power =962.64 W
e. power factor cosθ =1
Explanation:
Vs (t) = 170 sin(377t) v
Vm =170v
Vrms = 170/√2 =120.23 v
Im = Vm/R = 170/15 = 11.33 A
Irms = Im/ √2 = 11.33/√2 =8.02A
Resistors are electronic components that consume energy
the power in a resistor is given by P =IVcosθ ; in a resistor cosθ =1
P =IV
The electrical power consumed by a resistance, (R) is called the true or real power
and is obtained by multiplying the rms voltage with the rms current.
P= Vrms × Irms
120.03×8.02
P= 962.64 W ; true power
apparent power = Vrms × Irms
=120.03×8.02
= 962.64W ; apparent power
power factor cosθ = true power/ apparent power
cosθ = 962.64/962.64
cosθ = 1
For the purely resistive circuit, the power factor is 1 , because the reactive power is equal to zero (0).
Answer:
to overcome the out of friction we must increase the angle of the plane
Explanation:
To answer this exercise, let's propose the solution of the problem, write Newton's second law. We define a coordinate system where the x axis is parallel to the plane and the other axis is perpendicular to the plane.
X axis
fr - Wₓ = m a (1)
Y axis
N-
= 0
N = W_{y}
let's use trigonometry to find the components of the weight
sin θ = Wₓ / W
cos θ = W_{y} / W
Wₓ = W sin θ
W_{y} = W cos θ
the friction force has the formula
fr = μ N
fr = μ Wy
fr = μ mg cos θ
from equation 1
at the point where the force equals the maximum friction force
in this case the block is still still so a = 0
F = fr
F = (μ mg) cos θ
We can see that the quantities in parentheses with constants, so as the angle increases, the applied force must be less.
This is the force that balances the friction force, any force slightly greater than F initiates the movement.
Consequently, to overcome the out of friction we must increase the angle of the plane
the correct answer is to increase the angle of the plane
Answer:

Explanation:
As we know that magnitude of two vectors is given as

here we know that
A = magnitude of vector A
B = magnitude of vector B
= angle between two vectors
so here we know that
A = 30 units
B = 40 units
angle = 90 degree
so we have



A would be the correct answer. Its the only one to make sense since you are trying to solve the conflict!
C because the stack of paper was divided into 4