אין חשמל במטבח, ולכן המנורה לא עובדת.

אין is used to say that something does not exist / there is no ... / there isn’t ....
So אין חשמל means there is no electricity.

By contrast, לא is the regular word for not and is used to negate verbs:

• המנורה לא עובדת = the lamp is not working

So in this sentence:

• אין חשמל = there is no electricity
• לא עובדת = is not working

In Hebrew, the present-tense verb to be is usually omitted. So Hebrew often says things more literally like:

• אין חשמל במטבח = there is no electricity in the kitchen

There is no separate present-tense word for is/are here. This is very normal in Hebrew.

במטבח is made of:

• ב = in
• ה = the
• מטבח = kitchen

When ב comes before ה, they usually combine:

• ב + המטבח → במטבח

So במטבח means in the kitchen.

Hebrew prepositions such as ב (in), ל (to/for), and כ (as/like) often attach directly to the following word.

With a definite noun, the ה of the usually merges into the preposition:

• ב + ה + מטבח → במטבח
• ל + ה + בית → לבית
• כ + ה + ילד → כילד

But if there is no attached preposition, the definite article appears normally:

• המנורה = the lamp

So:

• במטבח = in the kitchen
• המנורה = the lamp

ולכן means and therefore / therefore / so.

It is built from:

• ו = and
• לכן = therefore

So ולכן literally means and therefore. In natural English, depending on context, you might translate it as:

• therefore
• so
• and therefore

Yes. מנורה is a feminine noun in Hebrew. It means lamp (and in some contexts can also mean menorah/lampstand, depending on usage).

Because it is feminine singular, words that agree with it also appear in feminine singular form. That is why the verb-like participle is:

• עובדת and not עובד

Because המנורה is feminine singular.

In Hebrew present tense, the verb form agrees with the subject in gender and number. So:

• masculine singular: עובד
• feminine singular: עובדת
• masculine plural: עובדים
• feminine plural: עובדות

Since המנורה is feminine singular, Hebrew says:

• המנורה עובדת = the lamp works / is working

And in the negative:

• המנורה לא עובדת = the lamp does not work / is not working

Yes, the same verb לעבוד can mean to work in more than one sense.

It can describe:

• a person working: אני עובד = I work / I am working
• a machine or device functioning: המכונה עובדת = the machine works / is working

So המנורה לא עובדת naturally means the lamp isn’t working.

It can be either. Hebrew present tense often covers both meanings:

• the lamp doesn’t work
• the lamp isn’t working

Which one is intended depends on context. In this sentence, because there is no electricity, English would often prefer the lamp isn’t working, but doesn’t work is also possible.

Hebrew usually does not need a separate subject pronoun when the noun itself is already stated.

So instead of saying something like:

• the lamp, it is not working

Hebrew simply says:

• המנורה לא עובדת

The noun המנורה is the subject, so no extra it is needed.

Here חשמל means electricity in a general, mass-noun sense, like English electricity. In English, we usually say:

• There is no electricity not
• There is no the electricity

Hebrew works similarly here:

• אין חשמל = there is no electricity

If you were talking about some specific electricity supply in a special context, the article might appear, but in ordinary usage חשמל is usually indefinite in this kind of sentence.

A common pronunciation would be:

Ein chashmal ba-mitbakh, ve-lakhen ha-menora lo ovedet.

A few notes:

• אין = ein
• חשמל = chashmal
• במטבח = ba-mitbakh
• ולכן = ve-lakhen
• המנורה = ha-menora
• לא עובדת = lo ovedet

The ח sound in חשמל and מטבח is a throaty sound that does not exist in standard English.

Yes. You could simply put the two clauses next to each other, especially in speech:

• אין חשמל במטבח, המנורה לא עובדת.

But ולכן clearly shows the logical connection: there is no electricity, therefore the lamp is not working.

So using ולכן makes the relationship more explicit and often sounds more polished or written.