An electric wire of length ‘$I$’ and area of cross-section $a$ has a resistance $R\, ohms$. Another wire of the same material having same length and area of cross-section $4a$ has a resistance of
Easy
Download our app for free and get started
(b) $R = \frac{{\rho l}}{a}$ for first wire and $R$’=$\frac{{\rho l}}{{4a}} = \frac{R}{4}$for second wire.
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A cell of internal resistance $1.5\,\Omega $ and of $e.m.f.$ $1.5\, volt$ balances $500\, cm$ on a potentiometer wire. If a wire of $15\,\Omega $ is connected between the balance point and the cell, then the balance point will shift
An electric bulb rated for $500\, watts$ at $100\, volts$ is used in a circuit having a $200-volt$ supply. The resistance $R$ that must be put in series with the bulb, so that the bulb draws $500\, W$ is .................. $\Omega$
Two equal resistances when connected in series to a battery, consume electric power of $60\,W.$ If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be .............. $W$
In the following diagram, the lengths of wires $A B$ and $B C$ are equal, but the radius of wire $A B$ is double that of $B C$. The ratio of potential gradient on wires $A B$ and on $B C$ will be (wires are made of same material)
In a potentiometer circuit a cell of $EMF$ $1.5\, {V}$ gives balance point at $36\, {cm}$ length of wire. If another cell of $EMF$ $2.5\, {V}$ replaces the first cell, then at what length of the wire, the balance point occurs ? (in $cm$)
A student measures the terminal potential difference $(V)$ of a cell $($ of $emf \;\varepsilon $ and internal resistance $r)$ as a function of the current $(I)$ flowing through it. The slope, and intercept, of the graph between $V$ and $I$, then, respectively, equal