zero
half the normal resistance of the circuit
double the normal resistance of the circuit
one
infinite
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It is infinite because when the circuit connected in series is open, there will be no current flowing through it. So R=V/I
Since I= zero , and anything divided by 0 is undefined or infinite. So R is infinite.
Simple maths and understanding. 👌
Open Circuit Resistance
The behavior of a resistor is given by Ohm’s law. The voltage across the resistor is proportional to the current. Hence, the equation of ohm’s law is,
\[ V = IR \]
\[ R = \frac{V}{I} \]
In an open circuit condition, the current is zero (I = 0).
\[ R = \frac{V}{0} \]
\[ R = \infty \]
Hence, for any value of voltage, the resistance is infinite in open circuit conditions. Answer = E.
Open Circuit Resistance
The behavior of a resistor is given by Ohm’s law. The voltage across the resistor is proportional to the current. Hence, the equation of ohm’s law is,
V = IR
R= V/I
In an open circuit condition, the current is zero (I = 0).
R = V/0
R= infinite
Hence, for any value of voltage, the resistance is infinite in open circuit conditions.
It is not really infinite, it is
assumed so for easy calculation
and understanding.
An open circuit is basically a
circuit with air in between the
contact points. At standard temp
and pressure (STP), 30kV/cm is
the limit of breakdown of air
and if you supply the voltage of
30kV between two points which
are exactly at 1cm distance, you
can achieve a spark between the
two points even though the
circuit is open.
The open circuit resistance
assumption is merely for
academic analysis purposes.
