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Travka [436]
3 years ago
14

A 7.8 µF capacitor is charged by a 9.00 V battery through a resistance R. The capacitor reaches a potential difference of 4.20 V

at a time 3.21 s after charging begins. Find R.
Physics
1 answer:
Vaselesa [24]3 years ago
3 0

Answer:

655128 ohm

Explanation:

C = Capacitance of the capacitor = 7.8 x 10⁻⁶ F  

V₀ = Voltage of the battery = 9 Volts  

V = Potential difference across the battery after time "t" = 4.20 Volts  

t = time interval = 3.21 sec  

T = Time constant

R = resistance  

Potential difference across the battery after time "t" is given as  

V = V_{o} (1-e^{\frac{-t}{T}})

4.20 = 9 (1-e^{\frac{-3.21}{T}})

T = 5.11 sec  

Time constant is given as  

T = RC  

5.11 = (7.8 x 10⁻⁶) R  

R = 655128 ohm

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tigry1 [53]

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The correct option is;

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Explanation:

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5 0
3 years ago
How much heat is needed to raise the temperature of 10g of water by 16°C?
Nina [5.8K]

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.............................................................

5 0
3 years ago
A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with a velocity of 4.00 m/s, and
garri49 [273]

Answer:

(a) t = 1.14 s

(b) h = 0.82 m

(c) vf = 7.17 m/s

Explanation:

(b)

Considering the upward motion, we apply the third equation of motion:

2gh = v_f^2 - v_i^2

where,

g = - 9.8 m/s² (-ve sign for upward motion)

h = max height reached = ?

vf = final speed = 0 m/s

vi = initial speed = 4 m/s

Therefore,

(2)(9.8\ m/s^2)h = (0\ m/s)^2-(4\ m/s)^2\\

<u>h = 0.82 m</u>

Now, for the time in air during upward motion we use first equation of motion:

v_f = v_i + gt_1\\0\ m/s = 4\ m/s + (-9.8\ m/s^2)t_1\\t_1 = 0.41\ s

(c)

Now we will consider the downward motion and use the third equation of motion:

2gh = v_f^2-v_i^2

where,

h = total height = 0.82 m + 1.8 m = 2.62 m

vi = initial speed = 0 m/s

g = 9.8 m/s²

vf = final speed = ?

Therefore,

2(9.8\ m/s^2)(2.62\ m) = v_f^2 - (0\ m/s)^2\\

<u>vf = 7.17 m/s</u>

Now, for the time in air during downward motion we use the first equation of motion:

v_f = v_i + gt_1\\7.17\ m/s = 0\ m/s + (9.8\ m/s^2)t_2\\t_2 = 0.73\ s

(a)

Total Time of Flight = t = t₁ + t₂

t = 0.41 s + 0.73 s

<u>t = 1.14 s</u>

7 0
2 years ago
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sleet_krkn [62]

Answer:

Explanation:

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F - f = ma. It an object is moving at a constant speed, the acceleration of that object is 0. That changes this equation to

F = f which states that the applied Force equals the frictional force, choice a.

3 0
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