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3 years ago

A circuit is supplied with a constant voltage. As the resistance of the circuit decreases, the power given to the circuit

1 answer:

7 0

Here, we are required to determine the reaction of the power given to a circuit supplied with a constant voltage as the distance of the circuit decreases.

In a circuit supposed with a <em>constant voltage</em>, as the resistance of the circuit decreases, the power given to the circuit Increases as evident in the formular: P = V²/R

The power given to a circuit is given by the formula;

Power, P = V × I

where, V = voltage supplied

and I = Current through the circuit.

However, from Ohm's law;

V = I × R

In essence, I = V/R

By substituting, I = V/R into the equation P = V × I

Therefore, we have;

P = V²/R.

Ultimately, if the circuit is supplied with a constant voltage, As the resistance of the circuit decreases, the power given to the circuit Increases.

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yuradex [85]

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3 years ago

Determine the inductance L of a 0.65-m-long air-filled solenoid 3.2 cm in diameter containing 8400 loops.

den301095 [7]

Answer:

The inductance is $L = 0.1097 \ H$

Explanation:

From the question we are told that

The length is $l = 0.65 \ m$

The diameter is $d = 3.2 cm = 0.032 \ m$

The number of loops is $N = 8400$

Generally the radius is evaluated as

$r = \frac{ 0.032 }{2} = 0.016 \ m$

The inductance is mathematically represented as

$L = \frac{ \mu_o * N^2 * A }{ l }$

Here $\mu_o$ is the permeability of free space with value $\mu_o = 4\pi * 10^{-7} N/A^2$

A is the cross-sectional area which is mathematically evaluated as

$A = \pi r^2$

=> $A = 3.142 * (0.016)^2$

=> $A = 0.000804 \ m^2$

=> $L = \frac{ 4\pi * 10^{-7} * 8400^2 * 0.000804 }{ 0.65 }$

=> $L = 0.1097 \ H$

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3 years ago

The latitude of the city of Arlington is about 32.7357°. Calculate the following: (a) The angular speed of the Earth. (b) The li

julia-pushkina [17]

Answer:

Explanation:

a ) The earth rotates by 2π radian in 24 x 60 x 60 s

so angular speed ( w ) = 2π / (24 x 60 x 60) = 7.268 x 10⁻⁵ rad / s

b ) Linear speed of city of Arlington ( v ) = w r = w R Cosλ where R is radius of the earth and λ is latitude .

v = 7.268 x 10⁻⁵ x 6.371 x 10⁶ cos 32.7357

389.5 m /s

acceleration = w² r = w² R Cos 32.7357

= (7.268 x 10⁻⁵ )² x 6.371 x 10⁶ x cos 32.7357

=283.08 x 10⁻⁴ m/s²

c) velocity ratio =

w r /w R =

R cos 32.73/ R

= Cos 32.73

= 0.84 .

6 0

4 years ago

What do you mean by pressure of a liquid? Write its Sl unit.

Maurinko [17]

Answer:

Explanation:

The pressure of a liquid is the rate of the force applied by the liquid on a surface per unit area of the surface.

i.e P = $\frac{F}{A}$

where P is the pressure, F is the force and A is the area.

The depth of the liquid determines its pressure at a definite lower point. As the pressure of a liquid at the bottom of a its container is greater than the pressure at the top of the liquid.

Thus,

P = σhg

where P is the pressure, σ is the density of the liquid, h is the height and g is the force of gravity.

It is measured in Pascals or N $m^{-2}$ .

The pressure of liquid has a lot of applications, viz: siphon, force pump, lift pump etc.

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3 years ago

Lonnie pitches a baseball of mass 0.20 kg. The ball arrives at home plate with a speed of 40 m/s and is batted straight back to

abruzzese [7]

Answer:

B) 20N.s is the correct answer

Explanation:

The formula for the impulse is given as:

Impulse = change in momentum

Impulse = mass × change in speed

Impulse = m × ΔV

Given:

initial speed = 40m/s

Final speed = -60 m/s (Since the the ball will now move in the opposite direction after hitting the bat, the speed is negative)

mass = 0.20 kg

Thus, we have

Impulse = 0.20 × (40m/s - (-60)m/s)

Impulse = 0.20 × 100 = 20 kg-m/s or 20 N.s

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3 years ago