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Current Electricity Test - 69

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Current Electricity Test - 69
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Weekly Quiz Competition
  • Question 1
    1 / -0
    The resistance across A and B is

    Solution
    The resistances in upper branch are a series combination of $$R$$ and $$2R$$
    So their series resistance is $$R_1=R+2R=3R$$

    The resistances in lower branch are a series combination of $$R$$ and $$R$$
    So their series resistance is $$R_2=R+R=2R$$

    Now $$3R$$ and $$2R$$ are in parallel.

    $$\dfrac{1}{R_{eq}}=\dfrac{1}{2R}+\dfrac{1}{3R}=\dfrac{5}{6R}$$
    $$\therefore R_{eq}=\dfrac{6R}{5}$$.

  • Question 2
    1 / -0
    All of the following can induce an emf in a coil of wire EXCEPT
    Solution

  • Question 3
    1 / -0
    The resistance of a wire at roan temperature $$30^oC$$ is found' to be $$10\Omega$$ Now to increase the resistance by $$10\Omega$$, the temperature of the wire must. be [The temperature coefficient of resistance of die material of the wire is 0.002 
    Solution
    $$R = {R_0}\left( {1 + \alpha \theta } \right)$$
    $$10 = {R_0}\left( {1 + \alpha {{30}^0}} \right)$$
    $$10 + 10 = {R_0}\left( {1 + \alpha \theta } \right)$$
    $$\frac{{10}}{{20}} = \frac{{1 + 0.002 \times 30}}{{1 + 0.002 \times \theta }}$$
    $$ \Rightarrow 1 + 0.002\theta  = 2 + 0.12$$
    $$ \Rightarrow 0.002\theta  = 1 + 0.12$$
    $$\theta  = \frac{{1.12}}{{0.002}}$$
    $$\theta  = {560^0}C$$
    Hence,
    option $$(C)$$ is correct answer.
  • Question 4
    1 / -0
    At what moment when the potentiometer is balanced ,
    Solution
    At the balanced condition of potentiometer, potential difference across secondary circuit is equal to the EMF of battery of secondary circuit, so there is no current in secondary circuit, but primary circuit work as it is. so current only flows in primary circuit.
  • Question 5
    1 / -0
    For circuit shown, the value of emf of battery 'E' is.

    Solution

  • Question 6
    1 / -0
    In which of the cases no emf is induced in conducting wire?  
    Solution
    EMF is inducted due to flux change in coil when coil rotate. If coil will not rotate magnetic flux link to the coil will not change Hence, emf will not be induced Therefore, correct option is B.  
  • Question 7
    1 / -0
    In a meter bridge setup, which of the following should be the properties of the one meter long wire?
    Solution

  • Question 8
    1 / -0
    Six identical cells, each of emf of $$6V$$, are connected in parallel. The net emf across the battery is
    Solution

  • Question 9
    1 / -0
    Kirchoff's voltage law and current law are respectively in accordance with the conservation of 
    Solution

  • Question 10
    1 / -0
    When the switch $$S$$, in the circuit shown, is closed, then the value of current $$i$$ will be :

    Solution
    Let voltage at $$C = xv$$
    $$KCL : i_1 + i_2 = i$$
    $$\dfrac{20-x}{2} + \dfrac{10-x}{4} = \dfrac{x-0}{2}$$
    $$\Rightarrow x = 10$$
    and $$i = 5Amp$$.

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