1.

A spark plug in a bike or a car is used to ignite the air - fuel mixture in the engine. It consists of two electrodes separated by a gap of around 0.6 mm gap as shown in the figure. To create the spark an electric field of magnitude 3xx10^(6)Vm^(-1) is required. (a) What potential difference must be applied to produce the spark ? ( b) If the gap is increased , does the potential defference increase decrease or remains the same the same ? ( c) find the potential difference if the gap is 1 mm .

Answer»

Solution :Separation gap between two electrodes , d= 0.6 mm
d=`0.6 xx10^(-3)m`
Magnetude of electric field `E= 3xx10^(6)Vm^(-1)`
Electric field `E= (V)/(d)`
(a) APPLIED potential differenceV=E. d
`= 3xx10^(6)xx0.6 xx10^(-13) = 1.8 xx10^(3)`
V= 1800 V
(b) From equation V= E. d
If the gap (DISTANCE ) between the electrodes increased the potential difference also increases. ( c) Gap between the electrodes `"" d =1mm =1 xx10^(-3)` m
Potential difference `"" ` V= E.d
`= 3xx10^(6)xx1 xx10^(-3) = 3xx103 `
V = 3000 V


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