How to return only subset of elements from a JSONB field in postgresql

I have a table in Postgres with the structure bellow.

id	name	objects(jsonb)
1	first	`[{"name":"a", value:"1", "param":{}}, {"name":"b", "value":"55", "param":{}}, {"name":"c", "value":"234", "param":{}}]`
2	second	`[{"name":"b", "value":"22", "param":{}}, {"name":"c", "value":"24", "param":{}}]`
3	third	`[{"name":"c", "value":"345", "param":{}}] \|`
4	forth	`[{"name":"a", "value":"123", "param":{}}, {"name":"b", "value":"456", "param":{}}]`

I am trying to write a query that returns all the rows but with only a subset of the objects in the "objects" column.

The output bellow would be the answer in case I want only the elements with "name"="b"

id	name	objects(jsonb)
1	first	[`{"name":"b", "value":"55", "param":{}}]`
2	second	`[{"name":"b", "value":"22", "param":{}}]`
3	third	`[]`
4	forth	`[{"name":"b", "value":"456", "param":{}}]`

The output bellow would be the answer in case I want only the elements with "name"="b" or "name"="c"

id	name	objects(jsonb)
1	first	[`{"name":"b", "value":"55", "param":{}}, {"name":"c", "value":"234", "param":{}}]`
2	second	`[{"name":"b", "value":"22", "param":{}}, {"name":"c", "value":"24", "param":{}}]`
3	third	`[{"name":"c", "value":"345", "param":{}}]`
4	forth	`[{"name":"b", "value":"456", "param":{}}]`

Solution

From here JSON functions use jsonb_path_query:

SELECT
    jsonb_path_query('[{"name":"a", "value":"1", "param":{}}, {"name":"b", "value":"55", "param":{}}, 
{"name":"c", "value":"234", "param":{}}]'::jsonb, '$[*] ? (@.name == "b")');

 jsonb_path_query              
-------------------------------------------
 {"name": "b", "param": {}, "value": "55"}

UPDATE Second case:

SELECT
    jsonb_agg(a)
FROM 
    jsonb_path_query('[{"name":"a", "value":"1", "param":{}}, {"name":"b", "value":"55", "param":{}}, 
{"name":"c", "value":"234", "param":{}}]'::jsonb, '$[*] ? (@.name == "b" || @.name == "c")') AS t (a);


jsonb_agg                                        
-----------------------------------------------------------------------------------------
 [{"name": "b", "param": {}, "value": "55"}, {"name": "c", "param": {}, "value": "234"}]