When a $4 \Omega$ resistor is connected across the terminals of a 12 V battery, the number of coulombs passing through the resistor per second is:(a) 0.3(b) 3(c) 4(d) 12

Given:

Potential difference, V=12 volt

Resistance, R = 4 ohms

To find:

Current, I which is same as coulombs per second

Solution:

According to the ohm's law:

$\mathrm{I}=\frac{\mathrm{V}}{\mathrm{R}}$

$\mathrm{I}=\frac{\mathrm{12}}{\mathrm{4}}$

= 3 A

The number of coulombs passing through the resistor per second is 3.

Answer is (b)

Related Articles When a 12 V battery is connected across an unknown resistor, there is a current of 2.5 mA in the circuit. Find the value of the resistance of the resistor.
A current of $200 \mathrm{~mA}$ flows through a $4 \mathrm{k} \Omega$ resistor. What is the p.d. across the resistor?
A battery of 9 V is connected in series with resistors of 0.2 â„¦, 0.3 â„¦, 0.4 â„¦ , 0.5 â„¦ and 12 â„¦, respectively. How much current would flow through the 12 â„¦ resistor?
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.
The p.d. across a $3 \Omega$ resistor is $6 \mathrm{~V}$. The current flowing in the resistor will be:(a) $\frac{1}{2} \mathrm{~A}$(b) $1 \mathrm{~A}$(c) $2 \mathrm{~A}$(d) $6 \mathrm{~A}$
A car headlight bulb working on a $12 \mathrm{~V}$ car battery draws a current of $0.5 \mathrm{~A}$. The resistance of the light bulb is :(a) $0.5 \Omega$(b) $6 \Omega$(c) $12 \Omega$(d) $24 \Omega$
Derive the expression for the heat produced due to a current ‘I’ flowing for a time interval ‘t’ through a resistor ‘R’ having a potential difference ‘V’ across its ends. With which name is the relation known? How much heat will an instrument of 12 W produce in one minute if it is connected to a battery of 12 V?
The values of current I flowing in a given resistor for the corresponding values of potential difference V across the resistor are given below –
The values of current (I) flowing through a given resistor of resistance (R), for the corresponding values of potential difference (V) across the resistor are as given below :V (Volts)0.51.01.52.02.53.04.05.0I (Amperes)0.10.20.30.40.50.60.81.0Plot a graph between current (I) and potential difference (V) and determine the resistance (R) of the resistor.
While studying the dependence of potential difference (V) across a resistor on the current (I) passing through it, in order to determine the resistance of the resistor, a student took 5 readings for different values of current and plotted a graph between V and I. He got a straight line graph passing through the origin. What does the straight line signify? Write the method of determining the resistance of the resistor using this graph.
If the integers $12,-6,8,-5,7,-4,$ and $3$ are marked on the number line, the one that comes on the extreme left is:(a) 12 (b) $-4$ (c) 7 (d) $-6$.
Consider the scale of a voltmeter shown in the diagram and answer the following questions:(a) What is the least count of the voltmeter?(b) What is the reading shown by the voltmeter?(c) If this voltmeter is connected across a resistor of 20Ω\n
If \( \mathrm{P} \frac{a}{3}, 4 \) is the mid-point of the line segment joining the points \( \mathrm{Q}(-6,5) \) and \( \mathrm{R}(-2,3) \), then the value of \( a \) is(A) \( -4 \)(B) \( -12 \)(C) 12(D) \( -6 \)
The current flowing through a resistor connected in a circuit and the potential difference developed across its ends are as shown in the diagram by milliammeter and voltmeter readings respectively:(a) What are the least counts of these meters?(b) What is the resistance of the resistor?"\n
In the experiment to study the dependence of current (I) on the potential difference (V) across a resistor, a student obtained a graph as shown.(i) What does the graph depict about the dependence of current on the potential difference?(ii) Find the current that flows through the resistor when the potential difference across it is 2·5 V."\n
Kickstart Your Career
Get certified by completing the course

Get Started