I attached a photo that explains and gives the answer to your questions. Had to add a border because the whole picture didn’t fit.
Answer:
a) Under damped
Explanation:
Given that system is critically damped .And we have to find out the condition when gain is increased.
As we know that damping ratio given as follows

Where C is the damping coefficient and Cc is the critical damping coefficient.

So from above we can say that


From above relationship we can say when gain (K) is increases then system will become under damped system.
Answer:
def extract_word_with_given_letter(sentence, letter):
words = sentence.split()
for word in words:
if letter in word.lower():
return word
return ""
# Testing the function here. ignore/remove the code below if not required
print(extract_word_with_given_letter('hello HOW are you?', 'w'))
print(extract_word_with_given_letter('hello how are you?', 'w'))
Answer:
the current consumed is 3.3 A
Explanation:
Given;
resistance, R = 30 ohms
inductance, L = 200 mH
Voltage supply, V = 230 V
frequency of the coil, f = 50 Hz
impedance, Z = 69.6 Ohms
The current consumed is calculated as;

Therefore, the current consumed is 3.3 A