Physics, 02.03.2020 23:22, npatony

Three capacitors are connected in series to an ac voltage source with amplitude 12.0 V and frequency 6.3 kHz. What are the peak voltages across each capacitor

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answered: morgan4411

The peak voltages across each capacitor are 6.0 V, 4.0 V and 2.0 V.

Explanation:

Given that,

Amplitude = 12.0 V

Frequency = 6.3 kHz

Suppose, Three capacitors are 2.0 μF, 3.0 μF and 6.0 μF

We need to calculate the equivalent capacitor

Using formula of series

$\dfrac{1}{C}=\dfrac{1}{C_{1}}+\dfrac{1}{C_{2}}+\dfrac{1}{C_{3}}$

Put the value into the formula

$\dfrac{1}{C}=\dfrac{1}{2.0}+\dfrac{1}{3.0}+\dfrac{1}{6.0}$

$\dfrac{1}{C}=1$

$C=1\ \mu F$

We need to calculate the charge

Using formula of charge

q=CV

Put the value into the formula

$q=1\times12.0$

$q=12\ \mu C$

The charge will be same in each capacitor because the capacitors are connected in series.

We need to calculate the voltage across first capacitor

Using formula of voltage

$V_{1}=\dfrac{q}{C_{1}}$

Put the value into the formula

$V_{1}=\dfrac{12}{2.0}$

$V_{1}=6.0 V$

We need to calculate the voltage across second capacitor

Using formula of voltage

$V_{2}=\dfrac{q}{C_{2}}$

Put the value into the formula

$V_{2}=\dfrac{12}{3.0}$

$V_{2}=4.0 V$

We need to calculate the voltage across third capacitor

Using formula of voltage

$V_{3}=\dfrac{q}{C_{3}}$

Put the value into the formula

$V_{3}=\dfrac{12}{6.0}$

$V_{3}=2.0 V$

Hence, The peak voltages across each capacitor are 6.0 V, 4.0 V and 2.0 V.

answered: Guest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

answered: Guest

snell's law

refractve index = sin incidence / sin refraction

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Three capacitors are connected in series to an ac voltage source with amplitude 12.0 V and frequency...