Aseries ac circuit consists of an inductor having a reactance of 80 ω and an inductance of 190 mh, a 40-ω resistor, a capacitor whose reactance is 100 ω, and an ac source. the rms current in the circuit is measured to be 2.2 a. what is the rms voltage of the source?

V = IZ

V = rms voltage, I = rms current, Z = total circuit impedance

The impedance Z of a device is sometimes expressed as the sum of a real and imaginary component:

Z = R + jX

R = resistance, j = , X = reactance

The impedance of a capacitor is -j/(ωC)

ω = ac source frequency, C = capacitance

We can see that the impedance of a capacitor has no real component and has a negative imaginary component, that is to say:

Z = -jX, where we're given X = 100Ω, so Z = -j100Ω

The impedance of an inductor is jωL, ω = source frequency, L = inductance

We can see that the impedance of an inductor has no real component and has a positive imaginary component, that is to say:

Z = jX, where we're given X = 80Ω, so Z = j80Ω

The impedance of a resistor is simply R, R = resistance

WE can see that the impedance of a resistor has a positive real component and no imaginary component, that is to say:

Z = R, where we're given R = 40Ω, so Z = 40Ω

Add up the impedances to get the total impedance:

Z = 40Ω + j80Ω - j100Ω = (40-j80)Ω

To get the rms source voltage, we multiply the rms current I and the impedance Z. These two quantities will be complex numbers, and the math behind multiplying two complex numbers involves multiplying their magnitudes. We already have the magnitude of the rms current 2.2A, so let's calculate the magnitude of the impedance:

|Z| = √(40²+(-80)²)Ω = 89.44Ω

Now let's calculate the rms source voltage V = IZ:

V = 2.2A(89.44Ω)

V = 197V

quantum mechanics or quantum physics is physics of very small objects (particles) and physical entities.

quantum physics has some parallels to our macro world and some pretty unique ideas which theoretically and mathematically proven to be true even though we will never be able to access them because of our size.

there are many types of particles: subatomic, elementary etc.

subatomic means they are smaller than atom, elementary means they are at the very basis of everything.

subatomic particles are for eg. protons, neutrons but not electrons.

elementary particles are categorised into 3 groups by what they do.

these 3 groups are quarks, leptons and bosons.

light for example is a particle more precisely a photon a part of leptons.

proton (subatomic particle) is made out of 2 up quarks and 1 down quark each of these has a fractional charge like . (i crazy)

most famous scientist who contributed to this physics are:

the topic itself us understand a lot and will probably be vastly used in the future (quantum computers, understanding the big bang,

we also must not forget quantum effects like:

and there is more. but probably too much for this answer to be consistent due to my average understanding of this topic.

hope this you understand quantum mechanics a little more. i'm not an expert in the topic (so don't be like wth if you are an expert) but i'm very interested in it.

anyways quantum physics is a very hard topic (harder than physics (perhaps)) therefore searching for every information there is about it and learning it is unfortunately impossible (you can only specialise into 1 - 3 things or more (perhaps

have fun and i wish you luck!

r3t40