Examples of voltage in the following topics:
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- The output, or terminal voltage of a voltage source such as a battery, depends on its electromotive force and its internal resistance.
- presents a schematic representation of a voltage source.
- The voltage output of a device is measured across its terminals and is called its terminal voltage V.
- Terminal voltage is given by the equation:
- The larger the current, the smaller the terminal voltage.
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- The graph shows voltage and current as functions of time.
- (b) starts with voltage at a maximum.
- Note that the current starts at zero, then rises to its peak after the voltage driving it (as seen in the preceding section when DC voltage was switched on).
- When the voltage becomes negative at point a, the current begins to decrease; it becomes zero at point b, where voltage is its most negative.
- Hence, when a sinusoidal voltage is applied to an inductor, the voltage leads the current by one-fourth of a cycle, or by a 90ยบ phase angle.
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- Fig 1 shows a simple RC circuit that employs a DC voltage source.
- In terms of voltage, across the capacitor voltage is given by Vc=Q/C, where Q is the amount of charge stored on each plate and C is the capacitance.
- When there is no current, there is no IR drop, so the voltage on the capacitor must then equal the emf of the voltage source.
- where V(t) is the voltage across the capacitor and emf is equal to the emf of the DC voltage source.
- Initially, the current is I0=V0/R, driven by the initial voltage V0 on the capacitor.
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- The phrase IR drop is often used for this voltage.
- If voltage is measured at various points in a circuit, it will be seen to increase at the voltage source and decrease at the resistor.
- Voltage is similar to fluid pressure.
- If voltage is forced to some value V, then that voltage V divided by measured current I will equal R.
- The voltage drop across a resistor in a simple circuit equals the voltage output of the battery.
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- The electrical current is directly proportional to the voltage applied and inversely related to the resistance in a circuit.
- A simple circuit consists of a voltage source and a resistor and can be schematically represented as in .
- Using this equation, we can calculate the current, voltage, or resistance in a given circuit.
- A simple electric circuit made up of a voltage source and a resistor
- Describe the relationship between the electrical current, voltage, and resistance in a circuit
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- Because high voltages pose greater hazards, transformers are employed to produce lower voltage at the user's location.
- In normal use, the input voltage is placed on the primary, and the secondary produces the transformed output voltage.
- Since the input voltage is AC, a time-varying magnetic flux is sent to the secondary, inducing its AC output voltage.
- A step-up transformer is one that increases voltage, whereas a step-down transformer decreases voltage.
- So if voltage increases, current decreases.
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- In a series RC circuit connected to an AC voltage source, voltage and current maintain a phase difference.
- On the other hand, because the total voltage should be equal to the sum of voltages on the resistor and capacitor, so we have:
- where $\omega$ is the angular frequency of the AC voltage source and j is the imaginary unit; j2=-1.
- we notice that voltage $v(t)$ and current $i(t)$ has a phase difference of $\phi$.
- Because voltage and current are out of phase, power dissipated by the circuit is not equal to: (peak voltage) times (peak current).
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- It is the steady state of a constant-voltage circuit.
- Therefore, with an AC voltage given by:
- In this example, in which we have a resistor and the voltage source in the circuit, the voltage and current are said to be in phase, as seen in (b).
- The frequencies and peak voltages of AC sources differ greatly.
- Apply Ohm's law to determine current and voltage in an AC circuit
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- The root mean square (RMS) voltage or current is the time-averaged voltage or current in an AC system.
- Unlike direct current (DC), where the currents and voltages are constant, AC currents and voltages vary over time.
- V is the voltage at time t, V0 is the peak voltage, and f is the frequency in hertz.
- The frequencies and peak voltages of AC sources differ greatly.
- Relate the root mean square voltage and current in an alternating circut with the peak voltage and current and the average power
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- The phase of the complex impedance is the phase shift by which the current is ahead of the voltage.
- From our voltage given above, $i = \frac{V}{R} e^{j \omega t}$.
- Thus the resistor's voltage is a complex, as is the current with an amplitude $I = \frac{V}{R}$.
- Letting the voltage be a complex exponential we have $i = j \omega CV e^{j \omega t}$.
- The magnitude of the complex impedance is the ratio of the voltage amplitude to the current amplitude.