All categories

2 years ago

Determine the magnitude and sense (direction) of the current in the 500-latex: \omega ω resistor when i = 30 ma.

Physics

1 answer:

VARVARA [1.3K]2 years ago

5 0

Complete Question:

Check the circuit in the file attached to this solution

Answer:

Total current = 0.056 A(From left to right)

Explanation:

Let the current in loop 1 be I₁ and the current in loop 2 be I₂

Applying KVL to loop 1

30 - (I₁ - I₂)500 + I₂R + 15 = 0

45 - 500I₁ - 500I₂ + RI₂ = 0

I₁ = 30mA = 0.03 A

45 - 500(0.03) - 500I₂ + RI₂ = 0

30 -500I₂ + RI₂ = 0...............(1)

Applying kvl to loop 2

-RI₂ - 15 + 10 - 400I₁ = 0

-RI₂ = 5 + 400*0.03

RI₂ = -17 ................(2)

Put equation (2) into (1)

30 -500I₂ -17 = 0

-500I₂ = 13

I₂ = -13/500

I₂ = -0.026 A

The total current in the 500 ohms resistor = I₁ - I₂ = 0.03+0.026

Total current = 0.056 A

The current will flow from left to right

You might be interested in

A kinesin that is transporting a secretory vesicle uses approximately 80 ATP molecules/s. Each ATP provides a kinesin molecule w

Firdavs [7]

Answer:

The force is $F = 8*10^{-12} \ N$

Explanation:

From the question we are told that

The rate at which ATP molecules are used is $R = 80 ATP/ s$

The energy provided by a single ATP is $E_{ATP} = 0.8 * 10^{-19} J$

The velocity of the kinesin is $v = 800 nm/s = 800*10^{-9} m/s$

The power provided by the ATP in one second is mathematically represented as

$P = E_{ATP} * R$

substituting values

$P = 80 * 0.8*10^{-19 }$

$P = 6.4 *10^{-18}J/s$

Now this power is mathematically represented as

$P = F * v$

Where F is the force the kinesin is exerting

Thus

$F = \frac{P}{v}$

substituting values

$F = \frac{6.4*0^{-18}}{800 *10^{-9}}$

$F = 8*10^{-12} \ N$

7 0

2 years ago

A construction worker accidentally drops a brick from a high scaffold. a. What is the brick's velocity after 4.0 s? b. How far d

AlekseyPX

Answer:

A. 39.2 m/s

B. 78.4 m

Explanation:

Data obtained from the question include:

Time (t) = 4 s

Acceleration due to gravity (g) = 9.8 m/s²

A. Determination of the brick's velocity.

Time (t) = 4 s

Acceleration due to gravity (g) = 9.8 m/s²

Velocity (v) =?

v = gt

v = 4 × 9.8

v = 39.2 m/s

Thus, the brick's velocity after 4 s is 39.2 m/s

B. Determination of how far the brick fall in 4 s.

Time (t) = 4 s

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) =?

h = ½gt²

h = ½ × 9.8 × 4²

h = 4.9 × 16

h = 78.4 m

Thus, the brick fall 78.4 m during the time.

5 0

2 years ago

A square loop of wire has a perimeter of 4.00 mm and is oriented such that two of its parallel sides form a 13.0 ∘∘ angle with t

vivado [14]

Answer:

a) (2.436 × 10⁻⁷) Wb

b) (7.308 × 10⁻⁷) Wb

Explanation:

Magnetic flux is the dot product of the magnetic field vector and the Area vector.

Mathematically, it is given as

Φ = BA cos θ

where B = magnetic field strength

A = Cross sectional Area of the loop enclosed

θ = angle between the magnetic field and the plane of the area.

a) B = 0.250 T

To find A, the perimeter of the loop is given as 4.00 mm.

Perimeter of a square = 4L

4L = 4.00

L = 1.00 mm = 0.001 m

The area is given as L²

A = (0.001)² = 0.000001 m²

θ = 13°

Φ = BA cos θ

Φ = 0.25 × 0.000001 × cos 13°

Φ = 0.0000002436 Wb = (2.436 × 10⁻⁷) Wb

b) Another loop lies in the same plane but has an irregular shape, resembling a starfish. Its area is three times greater than that of the square loop

Φ = BA cos θ

B = 0.25 T

A = 3 × 0.000001 = 0.000003 m²

θ = 13°

Φ = 0.25 × 0.000003 × cos 13°

Φ = 0.0000007308 Wb = (7.308 × 10⁻⁷) Wb

Hope this Helps!!!

8 0

2 years ago

cicadas produce a sound that has a frequency of 123 Hz. what is the wavelength of this sound in the air? the speed of sound in a

mojhsa [17]

Answer: 2.72 metres

Explanation:

Given that:

frequency of sound F = 123 Hz. wavelength of sound in the air = ?

speed of sound in air V = 334 m/s

Recall that wavelength is the distance covered by the wave after one complete cycle. It is measured in metres, and represented by the symbol λ.

So, apply V = F λ

λ = V /F

λ = 334m/s / 123Hz

λ = 2.72m

Thus, the wavelength of this sound in the air is 2.72 metres

4 0

2 years ago

Suppose you were hanging in empty space at rest, far from the Earth, but at the same distance from the Sun as the Earth. What mi

schepotkina [342]

Answer:

V = 42187 m/s = 42.18 km/s

Explanation:

given data:

mass of sun is $= 2\times 10^{30} kg$

radius of earth orbit is $1.5\times 10^{11} m$

minimum speed can be determined by using following formula

$V = (\frac{2gM}{r}))^{1/2$ }

where G is $\times 10^{-11}$

Plugging all value to get desired value

$V =(\frac{2\times 6.674 \times 10^{-11}2\times 10^{30}}{1.5\times 10^{11}})^{1/2}$

V = 42187 m/s = 42.18 km/s

4 0

2 years ago

Read 2 more answers