when two resistors of (800+-8) ohm and (600+-6) ohms are connected in parallel then equivalent resistance is
Answers
Equivalent resistance = 2400/7 ± 24/7 if resistors of (800 ±8) ohm and (600 ± 6) ohms are connected in parallel
Explanation:
R₁ ± ΔR₁ = 800 ± 8
R₂ ± ΔR₂ = 600 ± 6
R + ΔR - Equivalent resistance in parallel
1/R = 1/R₁ + 1/R₂
=> 1/R = 1/800 + 1/600
=> 1/R = ( 3 + 4)/2400
=> 1/R = 7/2400
=> R = 2400/7 = 342.857
ΔR / R² = ΔR₁ /R₁² + ΔR₂ /R₂²
=> ΔR / (2400/7)² = 8/800² + 6/600²
=> ΔR / (2400/7)² = (8 * 3² + 4² * 6) / 2400²
=> ΔR (49 ) = ( 72 + 96)
=> ΔR = 168 /49
=> ΔR = 24 /7
=> ΔR = 3.42857
equivalent resistance = 2400/7 ± 24/7
or 342.857 ± 3.42857
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