Two Perpendicular Vectors $\vec { A }$ And $\overrightarrow { \mathbf { B } }$

question 13

Multiple Choice

Two perpendicular vectors, $\vec { A }$ and $\overrightarrow { \mathbf { B } }$ , are added together giving vector $\overrightarrow { \mathrm { C } }$ . If the magnitudes of both vectors $\vec { A }$ and $\overrightarrow { \mathbf { B } }$ are doubled without changing their directions, the magnitude of vector $\overrightarrow { \mathrm { C } }$ will

• A) increase by a factor of 8.
• B) increase by a factor of 4.
• C) increase by a factor of 2.
• D) increase by a factor of \(\sqrt { 2 }\) .
• E) not change.

---

Definitions:

Turns Ratio

The ratio of the number of turns in the primary winding to the number of turns in the secondary winding of a transformer, affecting its voltage and current transformation.

Primary Leads

The main electrical conductors or connections that provide a path for electrical current to enter or exit a device or system.

Secondary Leads

Wires or conductors that connect the secondary winding of a transformer to the load or output, transferring the transformed voltage or current.

Open Delta

A method of transformer connection in a three-phase system using only two transformers to provide a delta connection, saving cost but reducing power capacity compared to a full delta configuration.