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 startedPlay store
(b) $R = \frac{{\rho l}}{a}$ for first wire and $R$’=$\frac{{\rho l}}{{4a}} = \frac{R}{4}$for second wire.
art

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.*

Similar Questions

  • 1
    When cells are connected in parallel, then
    View Solution
  • 2
    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
    View Solution
  • 3
    In the circuit here, the steady state voltage across capacitor $C$ is a fraction of the battery $e.m.f.$ The fraction is decided by
    View Solution
  • 4
    If a copper wire is stretched to increase its length by $20 \% $. The percentage increase in resistance of the wire is $..........\%$
    View Solution
  • 5
    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 .................. $\Omega$
    View Solution
  • 6
    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 .............. $W$
    View Solution
  • 7
    In the circuit shown here, $E_1 = E_2 = E_3 = 2 V$ and $R_1 = R_2 = 4\,ohms$. The current flowing between points $A$ and $B$ through battery $E_2$ is
    View Solution
  • 8
    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)
    View Solution
  • 9
    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 $cm$)
    View Solution
  • 10
    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 
    View Solution