$(a)$ Name an instrument that measures electric current in a circuit. Define the unit of electric current.
$(b)$ What do the following symbols mean in an electric circuit?
$(c)$ Draw a closed circuit diagram consisting of a $0.5\, m$ long nichrome wire $XY$,an ammeter,a voltmeter,four cells of $1.5\, V$ each,and a plug key.

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(N/A) The instrument used to measure electric current in a circuit is an ammeter.
The unit of electric current is the ampere $(A)$. One ampere is defined as the flow of $1$ coulomb of electric charge through a cross-section of a conductor in $1$ second.
$(b)$ $(i)$ The symbol represents a rheostat or variable resistance.
$(ii)$ The symbol represents a closed plug key or a closed switch.
$(c)$ The circuit diagram consists of a battery of four cells (total $6\, V$),a plug key (closed),an ammeter connected in series with the $0.5\, m$ nichrome wire $XY$,and a voltmeter connected in parallel across the wire $XY$.

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Draw a circuit diagram for a circuit consisting of a battery of five cells of $2 \text{ V}$ each, a $5 \, \Omega$ resistor, a $10 \, \Omega$ resistor, and a $15 \, \Omega$ resistor, an ammeter, and a plug key; all connected in series. Also, connect a voltmeter to record the potential difference across the $15 \, \Omega$ resistor and calculate:
$(i)$ the electric current passing through the above circuit and
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In the following circuits (Figure),heat produced in the resistor or combination of resistors connected to a $12\, V$ battery will be

$(a)$ State $Ohm's$ law. Express it mathematically.
$(b)$ Write symbols used in electric circuits to represent:
$(i)$ Variable resistance.
$(ii)$ Voltmeter.
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Compare the power used in the $2 \,\Omega$ resistor in each of the following circuits: $(i)$ a $6 \,V$ battery in series with $1 \,\Omega$ and $2 \,\Omega$ resistors,and $(ii)$ a $4 \,V$ battery in parallel with $12 \,\Omega$ and $2 \,\Omega$ resistors.

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