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Marat540 [252]
3 years ago
5

A charged capacitor is connected to an ideal inductor. At time t = 0, the charge on the capacitor is equal to 6.00 μC. At time t

= 2.00 ms the charge on the capacitor is zero for the first time. What is the amplitude of the current at that same instant?
Physics
1 answer:
Len [333]3 years ago
8 0

Answer:

4.71\times 10^{-3}A

Explanation:

Q_{max} = Maximum charge stored by capacitor = 6 μC = 6 x 10⁻⁶ C

t  = time taken for charge on the capacitor to become zero = 2 ms = 2 x 10⁻³ s

Time period is given as

T = 4t

T = 4(2\times 10^{-3})

T = 8\times 10^{-3} s

Angular frequency is given as

w = \frac{2\pi }{T}

w = \frac{2(3.14) }{8\times 10^{-3}}

w =785 rad/s

Charge at any time is given as

Q(t) = Q_{max}Coswt

Taking derivative both side relative to "t"

\frac{\mathrm{d}Q(t) }{\mathrm{d} t} = \frac{\mathrm{d}(Q_{max}Coswt) }{\mathrm{d} t}

i(t)= -Q_{max} w Sinwt

Amplitude of the current is given as

i_{max}= Q_{max} w

i_{max}= (6\times 10^{-6}) (785)

i_{max}= 4.71\times 10^{-3}A

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The speed of a 2.0-kg object changes from 30 m/s to 40 m/s during a 5.0-second time interval.
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Answer:

138.6 megacalculations

Explanation:

This is a pretty straightforward one.

All it needs is to convert the degree of measurement.

Dimensions in physics are attributed names, which state the power to which they're are raised. Just as how

Kilo and Mega means the numbers are raised to the power of 3 and 6 respectively. There also exists the ones that indicates how small, such as milli and micro, which are to the powers of -3 & -6.

The question says the IBM computer calculates at an astonishing 136.8 teracalculations.

Tera in physics means it's raised to the power of 12. Thus, the IBM calculates at an astonishing rate of

136.8*10^12 calculations per second.

We're then asked how many calculations it does in 1 micro second. Like I had highlighted earlier, 1 micro second is 1 raised to the power of -6. Or succinctly put,

1 micro second = 1*10^-6.

If the IBM does

138.6*10^12 = 1 second,

Then it does

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When we cross multiply, we have

138.6*10^12 * 1*10^-6, and that is

138.6*10^6 calculations, or say, 138.6 megacalculations.

The IBM does 138.6 megacalculations in 1 micro second, which is still astonishing, by the way

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