In an AM with m=1, the power in one sideband is:

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RRB ALP Mechanic Radio & TV 23 Jan 2019 Official Paper (Shift 3)
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  1. one-fourth of the carrier power
  2. the same as the total power
  3. three-fourth of the total power
  4. one-tenth of the total power

Answer (Detailed Solution Below)

Option 1 : one-fourth of the carrier power
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Detailed Solution

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The correct option is 1

Concept:

The power of a transmitted AM wave is given as:

Power in the carrier = Pc

Power in both the sidebands is given by:

Since the power is distributed equally to the left and to the right side of the sideband, the power in one of the sidebands is given by:

                     ............(1)

Explanation:

Given modulation index is 1

Putting modulation index =1 in equation 1 we have

Hence the power in the sideband is one-fourth of the carrier power.

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