a. An electronic circuit with a source resistance R is connected to a load resistance R. The power P delivered to the load R, is given by v²R; P = (R+R;}° Show that the maximum power P occurs when R. = R.

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a. An electronic circuit with a source resistance R is connected to a load resistance R. The power
P delivered to the load R, is given by
v°R,
P =
(R+R,)*
Show that the maximum power P occurs when R. = R.
Transcribed Image Text:a. An electronic circuit with a source resistance R is connected to a load resistance R. The power P delivered to the load R, is given by v°R, P = (R+R,)* Show that the maximum power P occurs when R. = R.
b. An engineering apprentice is given a rectangular sheet of metal of dimensions 500mm x
300mm. She is asked to cut out four identical squares, one in each corner of the sheet, fold
up the sides and weld the corner seams to make a metal box.
What should she make the length of the sides of the squares in order to maximise the
volume?
30 cm
50 cm
Transcribed Image Text:b. An engineering apprentice is given a rectangular sheet of metal of dimensions 500mm x 300mm. She is asked to cut out four identical squares, one in each corner of the sheet, fold up the sides and weld the corner seams to make a metal box. What should she make the length of the sides of the squares in order to maximise the volume? 30 cm 50 cm
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