Question
Download Solution PDFWhen a low resistance is connected in parallel with a high resistance, the combined resistance is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Resistance: The obstruction offered to the flow of current is known as the resistance. It is denoted by R.
When the terminals of two or more resistances are connected at the same two points and the potential difference across them is equal then it is called resistances in parallel
The net resistance/equivalent resistance(R) of resistances in parallel is given by:
\(\frac{1}{R} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}}\)
EXPLANATION:
Given that,
R1 = low resistance
R2 = high resistance
Suppose R1 = 3Ω, R2 = 6Ω
When the resistor is connected in parallel, then the equivalent resistance is
\(\frac{1}{{{R_{para}}}} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}} \)
∴ Rpara = (6 × 3)/9 = 2Ω
Hence, it is proved that the combined resistance is smaller than the lower resistance.
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