A technician has only two resistance coils. By using them singly, in series or in parallel, he is able to obtain the resistance $3,4,12$ and $16 \,ohms$. The resistance of the two coils are ........... $ohms$
Medium
Download our app for free and get startedPlay store
(b)

$\frac{R_1 R_2}{R_1+R_2}=3$

$R_1+R_2=16$

$R_1 R_2=48$

$R_1\left(16-R_1\right)=48$

$R_1^2-16 R_1+48=0$

$R_1=4,12$

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
    As the switch $S$ is closed in the circuit shown in figure, current passing through it is ................ $\mathrm{A}$
    View Solution
  • 2
    In the given circuit ' $a$ ' is an arbitrary constant. The value of $m$ for which the equivalent circuit resistance is minimum, will be $\sqrt{\frac{ x }{2}}$. The value of $x$ is ...........
    View Solution
  • 3
    In the given figure $-1$, resistance of shown voltmeter is variable. Variation of whose reading with respect to its resistance is shown in figure $-2$. The value of $R$ is ............... $\Omega$
    View Solution
  • 4
    The total power dissipated in watts in the circuit shown is ............. $W$
    View Solution
  • 5
    If two bulbs of wattage $25$ and $30$, each rated at $220\, volts$, are connected in series with a $440$ $volt$ supply, which bulb will fuse
    View Solution
  • 6
    A uniform metallic wire has a resistance of $18\,\Omega $ and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is .................. $\Omega$
    View Solution
  • 7
    The energy dissipated by a resistor is $10 \,mJ$ in $1\,s$ when an electric current of $2\, mA$ flows through it. The resistance is $....... \Omega$

    (Round off to the Nearest Integer)

    View Solution
  • 8
    An electric bulb rated $50 \mathrm{~W}-200 \mathrm{~V}$ is connected across a $100 \mathrm{~V}$ supply. The power dissipation of the bulb is :
    View Solution
  • 9
    An expression for rate of heat generated, if a current of $I$ ampere flows through a resistance of $R$ $\Omega$, is
    View Solution
  • 10
    In the circuit shown, the reading of the ammeter (ideal) is the same with both switches  open as with both closed find the value of resistance $R$ in $ohm$ . ................ $\Omega$
    View Solution