The maximum current that flows through a fuse wire before it blows out varies with its radius as
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(a) It is called safe current and is proportional to ${r^{3/2}}$.
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In the given potentiometer circuit length of the wire $AB$ is $3\,m$ and resistance is $R = 4.5 \,\Omega.$ The length $AC$ for no deflection in galvanometer is ................ $\mathrm{m}$
A battery of $e.m.f.$ $10\, V$ and internal resistance $3\,\Omega $ is connected to a resistor as shown in the figure. If the current in the circuit is $0.5\, A$. then the resistance of the resistor will be ............. $\Omega$
Resistance of $100\, cm$ long potentiometer wire is $10 \,\Omega$, it is connected to a battery ($2\, volt$) and a resistance $R$ in series. A source of $10\, mV$ gives null point at $40\, cm$ length, then external resistance $R$ is ........... $\Omega $
.............. $A$ the current flowing through the resistance $R_2$ of the circuit shown in fig if the resistance are equal to $R_1 = 20\ \Omega, R_2 = 30 \ \Omega$ and $R_3 = 60 \ \Omega$ and potentials of points $1, 2$ and $3$ are equal to $V_1= 20\, V,$ $V_2 = 30\ V$ and $V_3 = 60\ V$
A wire has a resistance of $12\, ohm$. It is bent in the form of equilateral triangle. The effective resistance between any two corners of the triangle is
In the figure, the potentiometer wire $AB$ of length $L$ and resistance $9r$ is joined to the cell $D$ of $emf$ $\varepsilon $ and internal resistance $r$. The cell $C's$ $emf$ is $\frac{\varepsilon }{2}$and its internal resistance is $2r$. The galvanometer $G$ will show no deflection when the length $AJ$ is