Component X and a cell of negligible internal resistance are placed in a circuit.A variable resistor R is connected in series with component X. The ammeter reads 20 mA.4.0 VARX(i) Determine the resistance of the variable resistor.
Question
Component X and a cell of negligible internal resistance are placed in a circuit.A variable resistor R is connected in series with component X. The ammeter reads 20 mA.4.0 VARX(i) Determine the resistance of the variable resistor.
Solution
To determine the resistance of the variable resistor, we need to know the voltage across the variable resistor. However, the information provided does not include this.
If we had the voltage (V), we could use Ohm's Law, which states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points, and inversely proportional to the resistance (R) between them. The formula is:
R = V / I
Where:
- R is the resistance (in ohms, Ω)
- V is the voltage (in volts, V)
- I is the current (in amperes, A)
In this case, we know the current (20 mA, which is 0.02 A), but we don't know the voltage. If we had the voltage, we could substitute the values into the formula and solve for R.
Without the voltage information, we cannot determine the resistance of the variable resistor.
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