The question asks for the symbol used to denote Ohm, which is the SI unit of electrical resistance. We need to identify the correct Greek letter from the given options.
Correct Option: B) \(\Omega\) is the symbol for Ohm, the unit of electrical resistance.
Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points, provided the temperature and other physical conditions remain constant. Mathematically, it is expressed as \(V = IR\), where \(V\) is voltage, \(I\) is current, and \(R\) is resistance. This law has specific conditions and limitations that define its applicability.
Correct Option: D) All of the above
The question asks for an analogy between electrical concepts in Ohm's law and a water pipe system. To answer this, we need to understand the fundamental roles of voltage, current, and resistance in an electrical circuit and find their corresponding elements in a hydraulic system.
B) Water pressure — Voltage is the electrical potential difference that drives current. In a water pipe analogy, water pressure is the force that drives water flow. Therefore, voltage is analogous to water pressure.
The question asks to identify the analog of electrical resistance in a water pipe system. This requires understanding the basic analogy between electrical circuits and hydraulic systems.
C) Size of pipe. A smaller pipe size (e.g., smaller diameter) offers greater resistance to water flow, making it the direct analogy to electrical resistance. Just as a resistor impedes current, a narrow pipe impedes water flow.
This problem can be solved using Ohm's Law, which states the relationship between voltage, current, and resistance in an electrical circuit. Ohm's Law is given by the formula \(V = IR\), where \(V\) is voltage, \(I\) is current, and \(R\) is resistance. We are given the voltage and total resistance, and we need to find the current.
Ohm's Law states:
\[ V = IR \]To find the current, we can rearrange the formula as:
\[ I = \frac{V}{R} \]Now, plug in the values of voltage and resistance:
\[ I = \frac{9 \text{ V}}{12 \text{ } \Omega} \]Perform the division:
\[ I = 0.75 \text{ A} \]Thus, the current flowing through the circuit is 0.75 Amperes.
D) 0.75A — This is the correct value calculated using Ohm's Law.
The question asks for the correct mathematical definition of Ohm's Law. Ohm's Law describes the relationship between voltage, current, and resistance in an electrical circuit. We need to identify the equation that correctly represents this relationship.
C) \(V = IR\)
This option correctly represents Ohm's Law, where \(V\) is the voltage, \(I\) is the current, and \(R\) is the resistance. It states that the voltage across a resistor is directly proportional to the current flowing through it, with the constant of proportionality being the resistance.