Both Assertion and Reason are correct, and the Reason is the correct explanation for the Assertion.
The correct answer is that both Assertion and Reason are correct, and the Reason is the correct explanation for the Assertion.
Assertion: The line voltage in a star-connected system is √3 times the phase voltage. This statement is true. In a star connection, the line voltage is the voltage measured between any two line terminals, while the phase voltage is the voltage across one phase and the neutral point.
Reason: In a star connection, the line voltage is the vector sum of the phase voltages, resulting in a √3 factor between them. This statement is also true and provides the correct explanation for the assertion. Because the phase voltages are 120 degrees apart in a balanced three-phase system, the vector sum of any two phase voltages (to obtain the line voltage) introduces a √3 multiplier. This can be easily visualized using a phasor diagram.
Consider a balanced three-phase star-connected system with phase voltages \(V_{ph}\) at 120° apart. The line voltage \(V_{line}\) between any two phases can be calculated using the cosine rule or by vector addition. The magnitude of the line voltage is given by:
\(V_{line} = \sqrt{V_{ph}^2 + V_{ph}^2 - 2V_{ph}V_{ph}\cos(120°)} = \sqrt{3}V_{ph}\)
Therefore, the line voltage is indeed √3 times the phase voltage, and the reason correctly explains this relationship using vector addition.
Similar Questions
- Select the option that is true regarding the following two statements labelled Assertion (A) and Reason (R). Assertion (A): It is safe to work under a suspended load if you are in a hurry. Reason (R): Never exceed the safe working load (SWL) of the equipment you are using.
Read the Assertion (A) and Reason (R) carefully, and select the correct option. Assertion (A): The earth resistance must be kept as low as possible to ensure that the earthing system is effective during fault conditions. Reason (R): A low resistance allows fault current to flow easily into the ground, ensuring safety by preventing electrical hazards.
Important Questions from Assertion & Reason
Directions for the following 6 (six) items: Given below are six items. Each item describes a situation and is followed by four possible responses. Indicate the response you find most appropriate. Choose only one response for each item. The responses will be evaluated based on the level of appropriateness for the given situation. Please attempt all the items. There is no penalty for, wrong answers for these six items. You are the head of your office. There are certain houses reserved for the allotment to the office staff and you have been given the discretion to do so. A set of rules for the allotment of the houses has been laid down by you and has been made public. Your personal secretary, who is very close to you, comes to you and pleads that as his father is seriously ill, he should be given priority in allotment of a house. The office secretariat that examined the request as per the rules turns down the request and recommends the procedure to be followed according to the rules. You do not want to annoy your personal secretary. In such circumstances, what would you do ?
While travelling in a Delhi-registered commercial taxi from Delhi to an adjacent city (another State), your taxi driver informs you that as he has no permit for running the taxi in that city, he will stop at its Transport Office and pay the prescribed fee of Rs. forty for a day. While paying the fee at the counter you find that the transport clerk is taking an extra fifty rupees for which no receipt is being given. You are in a hurry for your meeting. In such circumstances, what would you do?
A person lives in a far off village which is almost two hours by bus. The villager's neighbour is a very powerful landlord who is trying to occupy the poor villager's land by force. You are the District Magistrate and busy in a meeting called by a local Minister. The villager has come all the way, by bus and on foot, to see you and give an application seeking protection from the powerful landlord. The villager keeps on waiting outside the meeting hall for an hour. You come out of the meeting and are rushing to another meeting. The villager follows you to submit his application. What would you do?
There IS a shortage of sugar in your District where you are the District Magistrate. The Government has ordered that only a maximum amount of 30 kg sugar is to be released for wedding celebrations. A son of your close friend is getting married and your friend requests you to release at least 50 kg sugar for his son's wedding. He expresses annoyance when you tell him about the Government's restrictions on this matter. He feels that since you are the District Magistrate you can release any amount. You do not want to spoil your friendship with him. In such circumstances, how would you deal with the situation?
You are in-charge of implementing the Family Planning programme in an area where there is a strong opposition to the present policy. You want to convince the residents of the need for keeping small families. What would be the best way of communicating this message?
