The equivalent resistance $R' = \frac{R}{3}\,\Omega $
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The length of a potentiometer wire is $l$. $A$ cell of $\mathrm{emf}$ $E$ is balanced at a length $l/3$ from the positive end of the wire. If the length of the wire is increased by $l/2$. At what distance will the same cell give a balance point.
In the experiment of $Ohm's law,$ a potential difference of $5.0\, V$ is applied across the end of a conductor of length $10.0\, cm$ and diameter of $5.00\, mm .$ The measured current in the conductor is $2.00\, A$. The maximum permissible percentage error in the resistivity of the conductor is
A house is served by $220\, V$ supply line in a circuit protected by a $9\, ampere$ fuse. The maximum number of $60\, W$ lamps in parallel that can be turned on, is
The current density in a cylindrical wire of radius $r=4.0 \,mm$ is $1.0 \times 10^{6} \,A / m ^{2}$. The current through the outer portion of the wire between radial distances $r / 2$ and $r$ is $x \pi A$; where $x$ is ..........
The terminal voltage of the battery, whose emf is $10 \mathrm{~V}$ and internal resistance $1 \Omega$, when connected through an external resistance of $4 \Omega$ as shown in the figure is:
In an electrical cable there is a single wire of radius $9\, mm$ of copper. Its resistance is $5\,\Omega $. The cable is replaced by $6$ different insulated copper wires, the radius of each wire is $3\,mm$. Now the total resistance of the cable will be ............... $\Omega$
A milliammeter of range $10\, mA$ and resistance $9\, \Omega$ is joined in a circuit as shown. The meter gives full-scale deflection for current $I$ when $A$ and $B$ are used as its terminals, i.e., current enters at $A$ and leaves at $B$ ($C$ is left isolated). The value of $I$ is