Resistance and Ohm's Law

Q. Consider the following statements:

1. In series connection, same current flows through each element in the circuit.

2. In parallel connection, the same potential difference is present across each element in the circuit.

1. Statement 1 is correct but statement 2 is incorrect.
2. Statement 2 is correct but statement 1 is incorrect.
3. Both the statements are incorrect.
4. Both the statements are correct.

Q.

Two resistors of resistance $2\Omega$ and $4\Omega$ when connected to a battery will have

1. Same current flowing through them when connected in parallel

2. Same current flowing through them when connected in series

3. Same potential difference across them when connected in series

4. Different potential difference across them when connected in parallel

Q.

Explain the circuit connection in the series circuit.

Q. A uniform wire of resistance $50\Omega$ is cut into 4 equal parts which are then connected in parallel. What is the effective resistance of the combination?

1. $3.125\Omega$
2. $5.125\Omega$
3. $1.750\Omega$
4. $2.025\Omega$

Q. Two resistors of resistance $R_1$and $R_2$ having $R_1>R_2$ are connected in parallel. For equivalent resistance R, the correct statement is:

1. $R>R_1+R_2$
2. $R_1<R<R_2$
3. $R_2<R<(R_1+R_2)$
4. $R<R_1$

Q. If n equal resistances are first connected in series and then connected in parallel, then the ratio of the maximum to the minimum resistance is ___.

1. n
2. $\frac{1}{n^2}$
3. $n^2$
4. $\frac{1}{n}$

Q. 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.

1. $1200\Omega$
2. $3600\Omega$
3. $4800\Omega$
4. $2400\Omega$

Q. If the resistance of your body is ${10}^5\Omega$, what will be the current flowing through your body if you touch both the terminals of a 13 V battery at once?

1. $26\times {10}^{-6}$ A
2. $1.3\times {10}^{-3}$ A
3. $1.3\times {10}^{-4}$ A
4. $2.6\times {10}^{-5}$ A