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Marina86 [1]
4 years ago
10

A 2.02 nF capacitor with an initial charge of 4.55 µC is discharged through a 1.22 kΩ resistor. (a) Calculate the current in the

resistor 9.00 µs after the resistor is connected across the terminals of the capacitor. mA (b) What charge remains on the capacitor after 8.00 µs? µC (c) What is the maximum current in the resistor? A
Physics
1 answer:
Mandarinka [93]4 years ago
6 0

Answer:

a) 0.048A

b) 0.18µC

c) 1.85A

Explanation:

The discharged current of the capacitor as a function of time is given by:

i=\frac{q_o}{RC}*e^{-\frac{t}{\tau}}\\where:\\\tau=RC\\

\tau=1.22*10^3*2.02*10^{-9}\\\tau=2.46*10^{-6}s

a)

i=\frac{4.55\µC}{2.46\µs}*e^{-\frac{9\µs}{2.46\µs}}\\\\i=0.048A

b)

q=q_o*e^{-\frac{t}{\tau}}

q=4.55\µC*e^{-\frac{8\µs}{2.46\µs}}\\q=0.18\µC

c) the maximum current occurs when t=0

i=\frac{4.55\µC}{2.46\µs}*e^{-\frac{0\µs}{2.46\µs}}\\\\i=1.85A

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A disk of radius 10 cm is pulled along a frictionless surface with a force of 16 N by a string wrapped around the edge. At the i
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Answer:

t = 0.2845Nm (rounded to 4 decimal places)

Explanation:

The disk rotates at a distance of an arc length of 28cm

Arc length = radius × central angle × π/180

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8 0
3 years ago
Lenz’s law states that an induced magnetic field in a conductor
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In other words, the direction of any magnetic induction effect is such that it opposes the cause of the effect.

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3 0
4 years ago
The uncertainty in the position of an electron along an x axis is given as 68 pm. What is the least uncertainty in any simultane
umka21 [38]

Answer:

\Delta p_x=7.75\times 10^{-25}\ kg-m/s

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The uncertainty in the position of an electron along the x-axis is, \Delta x=68\ pm=68\times 10^{-12}\ m

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We know that the Heisenberg's uncertainty principle gives the relation between the uncertainty in position and the momentum of electron as :

\Delta p_x{\cdot}\Delta x\ge \dfrac{h}{4\pi }

Putting all the values, we get :

\Delta p_x{\cdot}\ge \dfrac{h}{4\pi \Delta x}\\\\\Delta p_x \ge \dfrac{6.63\times 10^{-34}}{4\pi \times 68\times 10^{-12}}\\\\\Delta p_x\ge 7.75\times 10^{-25}\ kg-m/s

So, the momentum component of this electrons is greater than 7.75\times 10^{-25}\ kg-m/s.

6 0
4 years ago
Which of the following changes will increase the period of an oscillating spring mass system?
Thepotemich [5.8K]

Answer:

a. an increase in the mass on the spring.

Explanation:

An increase in the mass on the spring will increase the period of an oscillating spring mass system.

Mathematically, the period of an oscillating spring mass system is given by the formula;

T = 2π √(m/k)

Where;

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m is the mass of the spring.

k is the spring constant.

Hence, the mass of a spring is directly proportional to the period of oscillation of the spring.

This ultimately implies that, as the mass of the spring increases, the period of oscillation will increase. Similarly, the period of oscillation will decrease with an increase in the spring constant.

7 0
3 years ago
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