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what happens when the electrons build up on a plate meaning it will become more negative
- plate becomes less attractive so the flow of electrons (ie current) reduces
- electrons on the 2nd plate are repelled from the negative plate
- As the charge builds up so does the pd across the plates. Charge stored is directly proportional to the pd across the plates
How to work out the time constant
increase/decrease whatever is remaining by 63.2%
Faraday’s Law
the induced emf across the conductor is directly proportional to the rate of change of magnetic flux
Lenz’s law
the direction of the induced current is such that the magnetic field of the induced current opposes the change creating it
Magnetic flux
the amount of magnetic field that you have swept through (but not just area but area x field strength) - weber wb
Circuit turning on - voltage across the inductor
as the current increases the mag. field strength builds up. FL says that an emf will be induced as there is changing mag field. LL says that the induced emf opposes the change creating a back emf. Therefore voltage across bulb builds less quickly
circuit turning on - current through an inductor
The back emf creates a back current which reduces the forward current. As the forward current stablises, the back current reduces until the current is maximum
circuit turning on - brightness of the bulb
starts off, slowly gets brighter
circuit turning off - voltage across the inductor
The current drops, so the mag field gets weaker. FL says a changing mag field induces an emf. LL says the induced emf opposes the change - tries to maintain the voltage across the inductor.
circuit turning off - current through the inductor
the back emf creates a back current which opposes the change ie keeps the current flowing until the energy across the inductor had dissipated
circuit turning off - brightness of the bulb
starts on, gets dimmer more slowly
what is back emf proportionate to?
change in I/change in t
what is AC current produced by
generators
purpose of AC current
can be transferred over larger distances with the help of transformers
what is root mean squared
the value of an alternating current that would produce the same amount of power as the value of the direct current
how does voltage change in ac
sinusoidally. In the shape of a sin wave
resistors in AC
Vr and I are in phase
Vc is 90 degrees behind V and Vr
The phase angle is how far ahead/behind the supply voltage is compared to Vr (and I)
reactance - what happens if frequency increases
as f increases the current changes direction more frequently so the capacitor accumulates less charge (and voltage) and opposes the flow of charge less (Xc decreases)
reactance - what happens if capacitance increases
The capacitor can store more charge per volt and the current can flow for longer before the VC is large enough to oppose the current (Xc decreases)
Impedence
- overall opposition to the flow of current
- the vector sum of the reactance and the resistance of the resistor
effect of capacitor in AC bulb
a bulb will stay bright. the changing direction of the current is constantly charging and discharging the capacitor so it doesn't get a large enough charge to reduce the current
formula for calculating current through the component
I = Vc/Xc
when is the voltage on a capacitor peak
Vr = O (Vc = IXc)
when is the voltage on a resistor peak
Vc = 0 (Vr = IR)
how do you calculate Vpeak and why
Vsupply is always changing and the vector sum of Vr and Vc is too. So to calculate Vpeak use the 2 max values of Vc and Vr and pythag
LR circuit explanation of voltage
a voltage is induced across an inductor whenever the current changes (FL). In AC circuits the current is constantly changing this means there will be a back emf opposing the current
current - ahead or behind? (inductor)
Vl is 90 degrees ahead of I and Vr
what does an increased frequency of supply voltage result in
the greater the frequency of the supply voltage than the greater the change in I/change in t is. As the back emf opposes current XL increases as F increases
what happens when the inductance of the inductor is increased
the greater the inductance of the inductor, the greater the back emf ie opposition to current so L increase XL increases
resonance
Xc = Xl and the only impedence is due to the resistance of the resistor
F^o is the frequency at resonance
Z = R and the largest possible current flows
what is a transformer
A device that will increase or decrease the voltage of an AC circuit
Equation for transformer and effect of I on V
Np/Ns = Vp/Vs. If I increaases voltage decreases