# Describing the resulting current

• MHB
• osafi52
In summary, the resulting current in the circuit is the sum of two alternating currents, one given by I1 = 2 cos t and the other given by I2 = −2 sin t at time t. The resulting current can be described as a single trig function by rewriting I1+I2 in terms of a single trig function. The graph of the current sum can also be described in terms of maximum current, phase shift, period, etc. or can be graphed using technology.
osafi52
Suppose that the current flowing in an electric circuit is the sum (superposition) of two alternating currents, one given by I1 = 2 cos t and the other given by I2 = −2 sin t at time t. Carefully describe the resulting current in the circuit.

osafi52 said:
Suppose that the current flowing in an electric circuit is the sum (superposition) of two alternating currents, one given by I1 = 2 cos t and the other given by I2 = −2 sin t at time t. Carefully describe the resulting current in the circuit.

What resources/directions have you been given to complete this problem?

Are you to rewrite $I_1+I_2$ in terms of a single trig function and describe the graph of the current sum in terms of max current, phase shift, period, etc.

... or can you just graph the sum using technology to do the above?

## 1. What is meant by "resulting current"?

The resulting current refers to the flow of electric charge that is generated in a circuit as a result of a voltage difference. It is the movement of electrons through a conductor, such as a wire, and is measured in amperes (A).

## 2. How is resulting current measured?

Resulting current is measured using an ammeter, which is a device that measures the flow of electric current in a circuit. The ammeter is connected in series with the circuit, meaning that it is placed in the path of the current and must be placed in the correct direction to get an accurate reading.

## 3. What factors affect the resulting current in a circuit?

The resulting current in a circuit is affected by several factors, including the voltage difference (or potential difference) between two points in the circuit, the resistance of the circuit, and the type of conductor used. Temperature can also affect the flow of current in some materials.

## 4. How is resulting current related to Ohm's Law?

Ohm's Law states that the current flowing through a conductor is directly proportional to the voltage difference and inversely proportional to the resistance. This means that as the voltage increases, the resulting current also increases, while an increase in resistance will decrease the resulting current.

## 5. Can resulting current be controlled?

Yes, resulting current can be controlled by changing the voltage, resistance, or both in a circuit. By increasing or decreasing the voltage or resistance, you can adjust the resulting current to the desired level. This is the principle behind devices such as resistors and variable power supplies.

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