Question

​You have six 2.0 kΩ resistors. How can you connect them to produce a total equivalent resistance of 3.0 kΩ ? Check all that apply.

You have six 2.0 kΩ resistors. Part A How can you connect them to produce a total equivalent resistance of 3.0 kΩ? Check all that apply. Submit Previous Answers Request Answer x Incorrect; Try Again; no points deducted

Answer 1

Part A Since all th e resistors are connected in series, the equivalent resistance is, 2+2+ 2+2+2+2 12Ω Since equivalent resistance is not equal to 3 Ω-so, option (a) is incorrect Since three resistors are connected in series, the equivalent resistance is -2+2+2 And, other three resistors are connected in series, the equivalent resistance is -2+2+2 Since R' and R" are in parallel, the equivalent resistance is, K R R R'R 62)(62) Since equivalent resistance is equal to 3 Ω . Therefore, option (b) is correct Since three resistors are connected in parallel, the equivalent resistance is R 2 And, other three resistors are connected in parallel, the equivalent resistance is, R" R R R R 2 The resistors R' and R are in series, the equivalent resistance is

R-R'+R 4 1.32 Since equivalent resistance is not equal to 3 Ω . So, option (c) is incorrect Since all the resistors are connected in parallel, the equivalent resistance is R 2 Reg Since equivalent resistance is not equal to 3 Ω . So, option (d) 1s incorrect. Since two resistors are connected in series, the equivalent resistance is Since two resistors are connected in series, the equivalent resistance is And, other two resistors are connected in series, the equivalent resistance is, Since R', R" and R" are in parallel, the equivalent resistance is, R' R' R R, 4Ω Reg Since equivalent resistance is equal to 3 Ω-Therefore, option (e) is incorrect

Since two resistors are connected in parallel, the equivalent resistance is, R 2 Since two resistors are connected in parallel, the equivalent resistance is, R" R R R 2 And, other two resistors are connected in parallel, the equivalent resistance is, R" R R R 2 Since R', R and R" are in series, the equivalent resistance is -32 Since equivalent resistance is equal to 3 Ω . Therefore, option (f) is correct. Therefore, options (b) and (f) are only correct.