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KCC's Quizzes AQQ295 about an audio logarithmic volume controller using linear pot - a proposal from Tim O'Brien

1. Quote of the month: "Think like a proton. Always positive" - Unknown

2. New quiz of the month: AQQ295 about a audio logarithmic volume controller using linear pot circuit

A kind proposal from Tim O’Brien (a frequent participant to our quizzes)

Audio volume is usually controlled by a logarithmic (log) potentiometer (pot) to approximate human hearing response.  However true log pots are increasingly hard to source and relatively expensive.  But there is a simple trick to establish an approximation of a log response using a linear pot and a single fixed resistor that’s good for about two decades - provided that the source and load impedances are appropriate to prevent undesirable attenuation at full volume.

One has to build a digital 90 degrees phase splitter circuit giving an in-phase (LO_I) and a quadrature phase (LO_Q) square LO signals phased out 90° one to each other. Among the following 4 circuits, there is one which is not performing that role.

Question: can you localize it and tell why?

1. With a 10K Ohm linear pot what is the value of the parallel fixed resistor R? to establish 10% attenuation at 50% rotation:
     a. assuming zero source and infinite load impedance?
     b. assuming 100 Ohms source and 10K Ohms load impedance?

2. There is no voltage attenuation for 1 a. at full volume, but what is the voltage attenuation at the load at full volume for 1b?

Good luck and try to be among the first ones!

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  • Hi there Steve.  May I ask why you're curious?

    This problem comes from a real solution to implement an arbitrary resistance log potentiometer in an audio amplifier.  In fact many log pots don't have a logarithmic substrate but approximate this by two linear sections.  On cost: a logarithmic (A taper) pot is typically 10 times more expensive than a linear (B taper)10K pot.  A true log taper may be 100 times more expensive.  And intermediate values (say A18K) aren't available off the shelf.  The human ear (and eye) has incredible range and is remarkably forgiving for deviations in apparent volume. 

    But maybe you're thinking who is Botha?  This is a nick-name (often shortened to Bo) which came about from a disastrous trip to Africa many years ago - but that is another story.        

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  • Hi there Steve.  May I ask why you're curious?

    This problem comes from a real solution to implement an arbitrary resistance log potentiometer in an audio amplifier.  In fact many log pots don't have a logarithmic substrate but approximate this by two linear sections.  On cost: a logarithmic (A taper) pot is typically 10 times more expensive than a linear (B taper)10K pot.  A true log taper may be 100 times more expensive.  And intermediate values (say A18K) aren't available off the shelf.  The human ear (and eye) has incredible range and is remarkably forgiving for deviations in apparent volume. 

    But maybe you're thinking who is Botha?  This is a nick-name (often shortened to Bo) which came about from a disastrous trip to Africa many years ago - but that is another story.        

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