First question (title)
A fixed resistor (or just a 'resistor' for short) has a single value that can't be change, e.g 5Ω.
A variable resistor is adjustable from zero up to some maximum value. E.g. a 20Ω variable resistor can be adjusted so its resistance is anywhere from zero up to 20Ω.
Your circuit should NOT be series. The voltmeter should be in parallel to the fixed resistor,
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2nd question
I believe you are checking that the fixed resistor obeys Ohm's Law. That's what the experiment is about.
You are trying to measure the voltage across the fixed resistor and the current through it, to see if they are proportional. You need to be able to alter the current through the fixed resistor to get a range of different readings. The variable resistor is needed because it allows you to change the current/voltage.
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3rd and 4th questions
In electrical circuits the voltage, current and resistance are inter-related. In fact by increasing the total resistance in a circuit, you reduce the current. By changing the variable resistor, you are making it easier or harder for current to flow - so it gives you a way of controlling the current.
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5th question
See 1st question
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6th question
Resistors don't 'read 'resistance. 'Reading' resistance needs a special type of meter.
Resistors don't 'alter' resistance - they have a value of resistance.
Think of resistance as 'how hard' it is for a current to pass through something. It is easier for current to pass through a low resistance component than a large resistance one.
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Try watching the video-lesson below - it's not that difficult. In the circuit near the beginning, the 'variable power supply' is equivalent to a fixed power supply and a variable resistor.