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Resistance of rod is calculated by measuring its length with help of meter scale of least count $1\ mm$ . Its radius is measured with help of screw gauge having $50$ division on circular scale and pitch is of $1\ mm$ . Resistivity of material is exact. Length of the wire is found to be $20\ cm$ and diameter of wire is $4\ mm$ . Find the percentage error in calculation of resistance ............... $\%$
Two resistances equal at $0\,^oC$ with temperature coefficient of resistance $\alpha _1$ and $\alpha _2$ joined in series act as a single resistance in a circuit. The temperature coefficient of their single resistance will be
A cell having an emf $\varepsilon$ and internal resistance $r$ is connected across a variable external resistance $R.$ As the resistance $R$ is increased, the plot of potential difference $V$ across $R$ is given by
Two square metal plates $A$ and $B$ are of the same thickness and material. The side of $B$ is twice that of $A$. These are connected as shown in series. If the resistances of $A$ and $B$ are denoted by $R_A$ and $R_B,$ then $(R_A/R_B)$ is
$A$ total charge $Q$ flows across a resistor $R$ during a time interval $= T$ in such a way that the current vs. time graph for $0 \rightarrow T$ is like the loop of a sin curve in the range $0 \rightarrow \pi$ . The total heat generated in the resistor is
You are given several identical resistances each of value $R = 10\,\Omega $ and each capable of carrying maximum current of $1\, ampere$. It is required to make a suitable combination of these resistances to produce a resistance of $5\,\Omega $ which can carry a current of $4\, amperes$. The minimum number of resistances of the type $R$ that will be required for this job