$n$ equal resistors are first connected in series and then connected in parallel. What is the ratio of the maximum to the minimum resistance
AIPMT 1989, Medium
Download our app for free and get startedPlay store
${R_{\max }} = nR$ and ${R_{\min }} = R/n$ $ \Rightarrow $ $\frac{{{R_{\max }}}}{{{R_{\min }}}} = {n^2}$
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
    The figure shows a network of five resistances and two batteries The total electrical power consumed by the circuit is ............... $W$
    View Solution
  • 2
    In the circuit shown, the reading of the Ammeter is doubled after the switch is closed. Each resistor has a resistance $1\,\Omega$ and the ideal cell has an $e.m.f.$ $10\,V$. Then, the Ammeter has a coil resistance equal to ............ $\Omega$
    View Solution
  • 3
    An electric lamp is marked $60\, W$, $ 230\, V$. The cost of $1\, kilowatt$ hour of power is Rs. $1.25$. The cost of using this lamp for $8$ hours is Rs. ................
    View Solution
  • 4
    A potentiometer having the potential gradient of $2\, mV/cm$ is used to measure the difference of potential across a resistance of $10 \,\Omega$. If a length of $50\, cm$ of the potentiometer wire is required to get the null point, the current passing through the $10 \,\Omega$ resistor is (in $mA$)
    View Solution
  • 5
    A cell, shunted by a $8 \; \Omega$ resistance, is balanced across a potentiometer wire of length $3 \;  m$. The balancing length is $2 \; m$ when the cell is shunted by $4 \; \Omega$ resistance. The value of internal resistance of the cell will be $\dots \; \Omega .$
    View Solution
  • 6
    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
    View Solution
  • 7
    $A$ 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
    View Solution
  • 8
    $A\,\,{5\,^o}C$ rise in the temperature is observed in a conductor by passing some current. When the current is doubled, then rise in temperature will be equal to ............. $^oC$
    View Solution
  • 9
    A heater $A$ gives out $300\, W$ of heat when connected to a $200\, V$ $d.c.$ supply. Asecond heater $B$ gives out $600\, W$ when connected to a $200\,v$ $d.c$. supply. If a series combination of the two heaters is connected to a $200\, V$ $d.c$. supply the heat output will be ................. $W$
    View Solution
  • 10
    Current through wire $XY$ of circuit shown is ................ $A$
    View Solution