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raketka [301]
3 years ago
9

A certain capacitor, in series with a resistor, is being charged. At the end of 10 ms its charge is half the final value. The ti

me constant for the process is about:
Physics
1 answer:
vichka [17]3 years ago
5 0

To solve this problem we will apply the expression of charge per unit of time in a capacitor with a given resistance. Mathematically said expression is given as

q(t) = e^{-\frac{t}{(R*C)}}

Here,

q = Charge

t = Time

R = Resistance

C = Capacitance

When the charge reach its half value it has passed 10ms, then the equation is,

\frac{1}{2}*q_{final} = e^{-\frac{0.01}{(R*C)}}

Ln(\frac{1}{2}) = -\frac{0.01}{RC}

- RC = \frac{0.01}{Ln(1/2)}

RC = 0.014s

We know that RC is equal to the time constant, then

T = RC  = 0.014s = 14ms

Therefore the time constant for the process is about 14ms

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Parallel conducting tracks, separated by 2.20 cm, run north and south. There is a uniform magnetic field of 1.20 T pointing upwa
mars1129 [50]

Answer:

The magnitude of the magnetic force on the rod is 0.037 N.

Explanation:

The magnetic force is given by:

F = qvBsin(\theta)

Since the charge (q) is:

q = I*t

Where<em> I</em> is the current = 1.40 A, and <em>t</em> the time  

And the speed (v):

v = \frac{L}{t}

Where <em>L </em>is the tracks separation = 2.20 cm = 0.022 m

Hence, the magnetic force is:

F = ILBsin(\theta)

Where <em>B </em>is the magnetic field = 1.20 T and <em>θ</em> is the angle between the tracks and the magnetic field = 90°

F = ILBsin(\theta) = 1.40*0.022*1.20*sin(90) = 0.037 N

Therefore, the magnitude of the magnetic force on the rod is 0.037 N.

I hope it helps you!

5 0
3 years ago
What hanging mass will stretch a 3.0-m-long, 0.32 mm - diameter steel wire by 1.3 mm ? The Young's modulus of steel is 20×10^10
raketka [301]

Answer:

0.71 kg

Explanation:

L = length of the steel wire = 3.0 m

d = diameter of steel wire = 0.32 mm = 0.32 x 10⁻³ m

Area of cross-section of the steel wire is given as

A = (0.25) πd²

A = (0.25) (3.14) (0.32 x 10⁻³)²

A = 8.04 x 10⁻⁸ m²

ΔL = change in length of the wire = 1.3 mm = 1.3 x 10⁻³ m

Y = Young's modulus of steel = 20 x 10¹⁰ Nm⁻²

m = mass hanging

F = weight of the mass hanging

Young's modulus of steel is given as

Y = \frac{FL}{A\Delta L}

20\times 10^{10} = \frac{F(3)}{(8.04\times 10^{-8})(1.3\times 10^{-3})}

F = 6.968 N

Weight of the hanging mass is given as

F = mg

6.968 = m (9.8)

m = 0.71 kg

7 0
4 years ago
The distance between two planets is 1600 km. How much time would the light
Snowcat [4.5K]

Answer:

5.33*10^-3 seconds

Explanation:

c = d/t

c = speed of light constant (3.0*10^5 km/s)

d = distance (1600 km)

t = ?

3.0*10^5 = 1600/t

t = 1600/3.0*10^5

t = 5.33*10^-3 seconds

I hope this helped! :)

6 0
3 years ago
dean is slowing down on his skateboards. he starts at a speed of 5.5 m/s and slows to 1.0 m/s over a time of 3.0 seconds. what i
vekshin1
Use one of the equations of accelerated motion; V2=V1 + at ...see attached

6 0
3 years ago
What is friction? How does it affect the motion of an object?
AfilCa [17]

the resistance that one surface or object encounters when moving over another.

"a lubrication system that reduces friction"

synonyms: abrasion, abrading, rubbing, chafing, grating, rasping, scraping, excoriation, grinding, gnawing, eating away, wearing away/down; More

the action of one surface or object rubbing against another.

"the friction of braking"

Friction is an important force because it is a force that affects motion. This force exerted by the surface of an object when another object moves against it is the result of molecular attractions between the objects' surfaces, and works in the direction opposite to the direction of the motion.

4 0
3 years ago
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