Total Current of AM Wave Calculator

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Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Frequency Modulation

Fundamentals of Analog Communications

Sideband and Frequency Modulation

✖Carrier current is the current which employs guided low-power radio-frequency signals, which are transmitted along electrical conductors.ⓘ Carrier Current [I_c]			+10% -10%
✖Modulation Index states the level of modulation that a carrier wave undergoes.ⓘ Modulation Index [μ]			+10% -10%

✖Total Current of AM Wave is the sum of the modulating signal's current and the carrier wave's current.ⓘ Total Current of AM Wave [i_t]

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Total Current of AM Wave

Formula

`"i"_{"t"} = "I"_{"c"}*sqrt(1+(("μ"^2)/2))`

Example

`"1.702621A"="1.65A"*sqrt(1+((("0.36")^2)/2))`

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Total Current of AM Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Current of AM Wave = Carrier Current*sqrt(1+((Modulation Index^2)/2))
i_t = I_c*sqrt(1+((μ^2)/2))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Total Current of AM Wave - (Measured in Ampere) - Total Current of AM Wave is the sum of the modulating signal's current and the carrier wave's current.
Carrier Current - (Measured in Ampere) - Carrier current is the current which employs guided low-power radio-frequency signals, which are transmitted along electrical conductors.
Modulation Index - Modulation Index states the level of modulation that a carrier wave undergoes.

STEP 1: Convert Input(s) to Base Unit

Carrier Current: 1.65 Ampere --> 1.65 Ampere No Conversion Required
Modulation Index: 0.36 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_t = I_c*sqrt(1+((μ^2)/2)) --> 1.65*sqrt(1+((0.36^2)/2))

Evaluating ... ...

i_t = 1.7026209208159

STEP 3: Convert Result to Output's Unit

1.7026209208159 Ampere --> No Conversion Required

FINAL ANSWER

1.7026209208159 ≈ 1.702621 Ampere <-- Total Current of AM Wave

(Calculation completed in 00.004 seconds)

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Created by Rachita C

BMS College Of Engineering (BMSCE), Banglore

Rachita C has created this Calculator and 25+ more calculators!

Verified by Saiju Shah

Jayawantrao Sawant College of Engineering (JSCOE), Pune

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< 18 Amplitude Modulation Characteristics Calculators

Pre Detection Signal to Noise Ratio of AM

Go Pre Detection SNR of SSB = (Amplitude of Carrier Signal^2*(1+Amplitude Sensitivity of Modulator^2*Total Power))/(2*Noise Density*Transmission Bandwidth)

Post Detection Signal to Noise Ratio of AM

Go Post Detection SNR of AM = (Amplitude of Carrier Signal^2*Amplitude Sensitivity of Modulator^2*Total Power)/(2*Noise Density*Transmission Bandwidth)

Coupling Factor of AM Receiver

Go Coupling Factor = (Image Frequency/Radio Frequency)-(Radio Frequency/Image Frequency)

Phase Deviation of AM Receiver

Go Phase Deviation = Proportionality Constant*Amplitude of Modulating Signal*Modulating Signal Frequency

Quality Factor of AM Receiver

Go Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance)

Total Current of AM Wave

Go Total Current of AM Wave = Carrier Current*sqrt(1+((Modulation Index^2)/2))

Total Power of AM wave

Go Total Power = Carrier Power+Upper Sideband Power+Lower Sideband Power

Magnitude of Modulating Signal

Go Modulating Signal Magnitude = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/2

Maximum Amplitude of AM Wave

Go Maximum Amplitude of AM Wave = Amplitude of Carrier Signal*(1+Modulation Index^2)

Minimum Amplitude of AM Wave

Go Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)

Amplitude of Each Sideband

Go Amplitude of each Sideband = (Modulation Index*Amplitude of Carrier Signal)/2

Image Frequency Bandwidth of AM Receiver

Go Image Frequency Bandwidth = Radio Frequency Bandwidth/Bandwidth Improvement

Radio Frequency Bandwidth of AM Receiver

Go Radio Frequency Bandwidth = Bandwidth Improvement*Image Frequency Bandwidth

Bandwidth Improvement of AM Receiver

Go Bandwidth Improvement = Radio Frequency Bandwidth/Image Frequency Bandwidth

Local Oscillation Frequency of AM Receiver

Go Local Oscillation Frequency = Radio Frequency+Intermediate Frequency

Average Total Power of AM Wave

Go Total Power = Carrier Power*(1+(Modulation Index^2)/2)

Amplitude Sensitivity of Modulator

Go Amplitude Sensitivity of Modulator = 1/Amplitude of Carrier Signal

Bandwidth of AM wave

Go Bandwidth of AM Wave = 2*Maximum Frequency

Total Current of AM Wave Formula

Total Current of AM Wave = Carrier Current*sqrt(1+((Modulation Index^2)/2))
i_t = I_c*sqrt(1+((μ^2)/2))

How are Current Relations derived for Single Tone AM Wave?

In AM it is generally more convenient to measure the AM transmitter current than the power. In this case, the modulation index may be calculated from the values of unmodulated and modulated currents in the AM transmitter. Let Ic be the r.m.s. value of the carrier or unmodulated current and It be the r.m.s. value of the total or modulated current of an AM transmitter. For a single-tone modulation the power relation is given by
Pt = Pc(1+μ^2/2).
In the final step write power in terms of current. Thus we obtain Current Relations for Single-tone AM Wave.

How to Calculate Total Current of AM Wave?

Total Current of AM Wave calculator uses Total Current of AM Wave = Carrier Current*sqrt(1+((Modulation Index^2)/2)) to calculate the Total Current of AM Wave, Total Current of AM Wave is the current that flows through a circuit when an AC wave is applied to it. Total Current of AM Wave is denoted by i_t symbol.

How to calculate Total Current of AM Wave using this online calculator? To use this online calculator for Total Current of AM Wave, enter Carrier Current (I_c) & Modulation Index (μ) and hit the calculate button. Here is how the Total Current of AM Wave calculation can be explained with given input values -> 1.702621 = 1.65*sqrt(1+((0.36^2)/2)).

FAQ

What is Total Current of AM Wave?

Total Current of AM Wave is the current that flows through a circuit when an AC wave is applied to it and is represented as i_t = I_c*sqrt(1+((μ^2)/2)) or Total Current of AM Wave = Carrier Current*sqrt(1+((Modulation Index^2)/2)). Carrier current is the current which employs guided low-power radio-frequency signals, which are transmitted along electrical conductors & Modulation Index states the level of modulation that a carrier wave undergoes.

How to calculate Total Current of AM Wave?

Total Current of AM Wave is the current that flows through a circuit when an AC wave is applied to it is calculated using Total Current of AM Wave = Carrier Current*sqrt(1+((Modulation Index^2)/2)). To calculate Total Current of AM Wave, you need Carrier Current (I_c) & Modulation Index (μ). With our tool, you need to enter the respective value for Carrier Current & Modulation Index and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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